51010197638400 has 7776 divisors, whose sum is σ = 268572586254336. Its totient is φ = 9405849600000.

The previous prime is 51010197638383. The next prime is 51010197638401. The reversal of 51010197638400 is 483679101015.

51010197638400 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 0 + 1 + 9 + 7 + 638 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51010197638401) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 337815878325 + ... + 337815878475.

Almost surely, 2^{51010197638400} is an apocalyptic number.

51010197638400 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 51010197638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134286293127168).

51010197638400 is an abundant number, since it is smaller than the sum of its proper divisors (217562388615936).

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

51010197638400 is a wasteful number, since it uses less digits than its factorization.

51010197638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 51010197638400 in words is "fifty-one trillion, ten billion, one hundred ninety-seven million, six hundred thirty-eight thousand, four hundred".