51200371537920 has 2304 divisors, whose sum is σ = 210014088560640. Its totient is φ = 11850773299200.

The previous prime is 51200371537907. The next prime is 51200371537943. The reversal of 51200371537920 is 2973517300215.

51200371537920 is a `hidden beast` number, since 5 + 1 + 20 + 0 + 3 + 7 + 1 + 537 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70426920597 + ... + 70426921323.

It is an arithmetic number, because the mean of its divisors is an integer number (91151948160).

Almost surely, 2^{51200371537920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51200371537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105007044280320).

51200371537920 is an abundant number, since it is smaller than the sum of its proper divisors (158813717022720).

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

51200371537920 is a wasteful number, since it uses less digits than its factorization.

51200371537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 51200371537920 in words is "fifty-one trillion, two hundred billion, three hundred seventy-one million, five hundred thirty-seven thousand, nine hundred twenty".