51913655270400 has 1056 divisors, whose sum is σ = 215199618342912. Its totient is φ = 10722454732800.

The previous prime is 51913655270297. The next prime is 51913655270401. The reversal of 51913655270400 is 407255631915.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51913655270400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51913655270401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 987544917 + ... + 987597483.

Almost surely, 2^{51913655270400} is an apocalyptic number.

51913655270400 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 51913655270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107599809171456).

51913655270400 is an abundant number, since it is smaller than the sum of its proper divisors (163285963072512).

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

51913655270400 is a wasteful number, since it uses less digits than its factorization.

51913655270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52785 (or 52762 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 51913655270400 in words is "fifty-one trillion, nine hundred thirteen billion, six hundred fifty-five million, two hundred seventy thousand, four hundred".