51937852137600 has 768 divisors, whose sum is σ = 212800008677760. Its totient is φ = 10938777600000.

The previous prime is 51937852137533. The next prime is 51937852137659. The reversal of 51937852137600 is 673125873915.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22224850 + ... + 24450350.

Almost surely, 2^{51937852137600} is an apocalyptic number.

51937852137600 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 51937852137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106400004338880).

51937852137600 is an abundant number, since it is smaller than the sum of its proper divisors (160862156540160).

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

51937852137600 is a wasteful number, since it uses less digits than its factorization.

51937852137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225569 (or 2225552 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 51937852137600 in words is "fifty-one trillion, nine hundred thirty-seven billion, eight hundred fifty-two million, one hundred thirty-seven thousand, six hundred".