51941436321600 has 1344 divisors, whose sum is σ = 229152599961600. Its totient is φ = 11179912273920.

The previous prime is 51941436321589. The next prime is 51941436321623. The reversal of 51941436321600 is 612363414915.

51941436321600 is a `hidden beast` number, since 5 + 1 + 9 + 4 + 1 + 4 + 3 + 6 + 32 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 959488134 + ... + 959542266.

It is an arithmetic number, because the mean of its divisors is an integer number (170500446400).

Almost surely, 2^{51941436321600} is an apocalyptic number.

51941436321600 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 51941436321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114576299980800).

51941436321600 is an abundant number, since it is smaller than the sum of its proper divisors (177211163640000).

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

51941436321600 is a wasteful number, since it uses less digits than its factorization.

51941436321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54357 (or 54336 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 51941436321600 in words is "fifty-one trillion, nine hundred forty-one billion, four hundred thirty-six million, three hundred twenty-one thousand, six hundred".