51958592640 has 256 divisors, whose sum is σ = 185247993600. Its totient is φ = 13763174400.

The previous prime is 51958592633. The next prime is 51958592641. The reversal of 51958592640 is 4629585915.

51958592640 is a `hidden beast` number, since 5 + 1 + 9 + 5 + 8 + 592 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (51958592641) 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, 2599324 + ... + 2619236.

It is an arithmetic number, because the mean of its divisors is an integer number (723624975).

Almost surely, 2^51958592640 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 51958592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92623996800).

51958592640 is an abundant number, since it is smaller than the sum of its proper divisors (133289400960).

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

51958592640 is a wasteful number, since it uses less digits than its factorization.

51958592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20092 (or 20074 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 51958592640 in words is "fifty-one billion, nine hundred fifty-eight million, five hundred ninety-two thousand, six hundred forty".