51157841280 has 768 divisors, whose sum is σ = 204710768640. Its totient is φ = 10638950400.

The previous prime is 51157841263. The next prime is 51157841347. The reversal of 51157841280 is 8214875115.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229407249 + ... + 229407471.

It is an arithmetic number, because the mean of its divisors is an integer number (266550480).

Almost surely, 2^51157841280 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 51157841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102355384320).

51157841280 is an abundant number, since it is smaller than the sum of its proper divisors (153552927360).

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

51157841280 is a wasteful number, since it uses less digits than its factorization.

51157841280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 42.

The spelling of 51157841280 in words is "fifty-one billion, one hundred fifty-seven million, eight hundred forty-one thousand, two hundred eighty".