51597786240 has 2048 divisors, whose sum is σ = 259918848000. Its totient is φ = 9316270080.

The previous prime is 51597786211. The next prime is 51597786263. The reversal of 51597786240 is 4268779515.

51597786240 is a `hidden beast` number, since 5 + 1 + 5 + 9 + 7 + 7 + 8 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 328648242 + ... + 328648398.

It is an arithmetic number, because the mean of its divisors is an integer number (126913500).

Almost surely, 2^51597786240 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 51597786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129959424000).

51597786240 is an abundant number, since it is smaller than the sum of its proper divisors (208321061760).

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

51597786240 is a wasteful number, since it uses less digits than its factorization.

51597786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 51597786240 in words is "fifty-one billion, five hundred ninety-seven million, seven hundred eighty-six thousand, two hundred forty".