51458857632 has 1152 divisors, whose sum is σ = 204313536000. Its totient is φ = 12509779968.

The previous prime is 51458857627. The next prime is 51458857633. The reversal of 51458857632 is 23675885415.

51458857632 is a `hidden beast` number, since 5 + 1 + 4 + 588 + 57 + 6 + 3 + 2 = 666.

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

Its product of digits (8064000) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (51458857633) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1390779918 + ... + 1390779954.

It is an arithmetic number, because the mean of its divisors is an integer number (177355500).

Almost surely, 2^51458857632 is an apocalyptic number.

51458857632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51458857632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102156768000).

51458857632 is an abundant number, since it is smaller than the sum of its proper divisors (152854678368).

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

51458857632 is a wasteful number, since it uses less digits than its factorization.

51458857632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 81 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 51458857632 in words is "fifty-one billion, four hundred fifty-eight million, eight hundred fifty-seven thousand, six hundred thirty-two".