51785426918400 has 528 divisors, whose sum is σ = 204108609974784. Its totient is φ = 11322028523520.

The previous prime is 51785426918389. The next prime is 51785426918441. The reversal of 51785426918400 is 481962458715.

It is a super-2 number, since 2×51785426918400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10270734 + ... + 14458866.

Almost surely, 2^{51785426918400} is an apocalyptic number.

51785426918400 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 51785426918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102054304987392).

51785426918400 is an abundant number, since it is smaller than the sum of its proper divisors (152323183056384).

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

51785426918400 is a wasteful number, since it uses less digits than its factorization.

51785426918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188196 (or 4188173 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 51785426918400 in words is "fifty-one trillion, seven hundred eighty-five billion, four hundred twenty-six million, nine hundred eighteen thousand, four hundred".