51690240550400 has 240 divisors, whose sum is σ = 131234028765840. Its totient is φ = 20165060198400.

The previous prime is 51690240550387. The next prime is 51690240550427. The reversal of 51690240550400 is 405504209615.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1747044407 + ... + 1747073993.

It is an arithmetic number, because the mean of its divisors is an integer number (546808453191).

Almost surely, 2^{51690240550400} is an apocalyptic number.

51690240550400 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 51690240550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65617014382920).

51690240550400 is an abundant number, since it is smaller than the sum of its proper divisors (79543788215440).

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

51690240550400 is a wasteful number, since it uses less digits than its factorization.

51690240550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32985 (or 32964 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 51690240550400 in words is "fifty-one trillion, six hundred ninety billion, two hundred forty million, five hundred fifty thousand, four hundred".