51527024640 has 736 divisors, whose sum is σ = 225485756160. Its totient is φ = 10871635968.

The previous prime is 51527024621. The next prime is 51527024651. The reversal of 51527024640 is 4642072515.

It is a happy number.

51527024640 is a `hidden beast` number, since 5 + 1 + 5 + 2 + 7 + 0 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51527024595 and 51527024604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3963617274 + ... + 3963617286.

Almost surely, 2^51527024640 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 51527024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112742878080).

51527024640 is an abundant number, since it is smaller than the sum of its proper divisors (173958731520).

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

51527024640 is an frugal number, since it uses more digits than its factorization.

51527024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 51527024640 in words is "fifty-one billion, five hundred twenty-seven million, twenty-four thousand, six hundred forty".