51941987942400 has 1152 divisors, whose sum is σ = 193807358035200. Its totient is φ = 13790203084800.

The previous prime is 51941987942363. The next prime is 51941987942407. The reversal of 51941987942400 is 424978914915.

51941987942400 is a `hidden beast` number, since 5 + 19 + 4 + 198 + 7 + 9 + 424 + 0 + 0 = 666.

51941987942400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×51941987942400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51941987942407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61909401181 + ... + 61909402019.

It is an arithmetic number, because the mean of its divisors is an integer number (168235553850).

Almost surely, 2^{51941987942400} is an apocalyptic number.

51941987942400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51941987942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96903679017600).

51941987942400 is an abundant number, since it is smaller than the sum of its proper divisors (141865370092800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51941987942400 is an frugal number, since it uses more digits than its factorization.

51941987942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 51941987942400 in words is "fifty-one trillion, nine hundred forty-one billion, nine hundred eighty-seven million, nine hundred forty-two thousand, four hundred".