53387582976 has 960 divisors, whose sum is σ = 206346792960. Its totient is φ = 13257768960.

The previous prime is 53387582959. The next prime is 53387583017. The reversal of 53387582976 is 67928578335.

53387582976 is a `hidden beast` number, since 5 + 338 + 7 + 5 + 8 + 297 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1442907630 + ... + 1442907666.

It is an arithmetic number, because the mean of its divisors is an integer number (214944576).

Almost surely, 2^53387582976 is an apocalyptic number.

53387582976 is a gapful number since it is divisible by the number (56) 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 53387582976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103173396480).

53387582976 is an abundant number, since it is smaller than the sum of its proper divisors (152959209984).

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

53387582976 is a wasteful number, since it uses less digits than its factorization.

53387582976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 93 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 53387582976 in words is "fifty-three billion, three hundred eighty-seven million, five hundred eighty-two thousand, nine hundred seventy-six".