51903135313920 has 2496 divisors, whose sum is σ = 210020862387840. Its totient is φ = 12297476505600.

The previous prime is 51903135313873. The next prime is 51903135313933. The reversal of 51903135313920 is 2931353130915.

51903135313920 is a `hidden beast` number, since 5 + 1 + 90 + 3 + 1 + 3 + 531 + 3 + 9 + 20 = 666.

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, 330593218482 + ... + 330593218638.

Almost surely, 2^{51903135313920} 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 51903135313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105010431193920).

51903135313920 is an abundant number, since it is smaller than the sum of its proper divisors (158117727073920).

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

51903135313920 is an equidigital number, since it uses as much as digits as its factorization.

51903135313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The spelling of 51903135313920 in words is "fifty-one trillion, nine hundred three billion, one hundred thirty-five million, three hundred thirteen thousand, nine hundred twenty".