51377965977600 has 624 divisors, whose sum is σ = 199846146349440. Its totient is φ = 12894850252800.

The previous prime is 51377965977593. The next prime is 51377965977691. The reversal of 51377965977600 is 677956977315.

It is a happy number.

51377965977600 is a `hidden beast` number, since 5 + 1 + 3 + 7 + 7 + 9 + 6 + 5 + 9 + 7 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 46455045 + ... + 47548155.

Almost surely, 2^{51377965977600} is an apocalyptic number.

51377965977600 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 51377965977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99923073174720).

51377965977600 is an abundant number, since it is smaller than the sum of its proper divisors (148468180371840).

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

51377965977600 is a wasteful number, since it uses less digits than its factorization.

51377965977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093171 (or 1093138 counting only the distinct ones).

The product of its (nonzero) digits is 525098700, while the sum is 72.

The spelling of 51377965977600 in words is "fifty-one trillion, three hundred seventy-seven billion, nine hundred sixty-five million, nine hundred seventy-seven thousand, six hundred".