51651157120 has 256 divisors, whose sum is σ = 135539762400. Its totient is φ = 18743296000.

The previous prime is 51651157043. The next prime is 51651157127. The reversal of 51651157120 is 2175115615.

It can be written as a sum of positive squares in 16 ways, for example, as 6125253696 + 45525903424 = 78264^2 + 213368^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (51651157127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39700470 + ... + 39701770.

Almost surely, 2^51651157120 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 51651157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67769881200).

51651157120 is an abundant number, since it is smaller than the sum of its proper divisors (83888605280).

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

51651157120 is a wasteful number, since it uses less digits than its factorization.

51651157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 34.

The spelling of 51651157120 in words is "fifty-one billion, six hundred fifty-one million, one hundred fifty-seven thousand, one hundred twenty".