51553769810400 has 1728 divisors, whose sum is σ = 217330569578304. Its totient is φ = 11334795264000.

The previous prime is 51553769810317. The next prime is 51553769810401. The reversal of 51553769810400 is 401896735515.

51553769810400 is a `hidden beast` number, since 5 + 1 + 5 + 537 + 6 + 98 + 10 + 4 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51553769810401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22022113230 + ... + 22022115570.

It is an arithmetic number, because the mean of its divisors is an integer number (125770005543).

Almost surely, 2^{51553769810400} is an apocalyptic number.

51553769810400 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 51553769810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108665284789152).

51553769810400 is an abundant number, since it is smaller than the sum of its proper divisors (165776799767904).

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

51553769810400 is a wasteful number, since it uses less digits than its factorization.

51553769810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 51553769810400 in words is "fifty-one trillion, five hundred fifty-three billion, seven hundred sixty-nine million, eight hundred ten thousand, four hundred".