53932059648000 has 672 divisors, whose sum is σ = 194685187537152. Its totient is φ = 14363099136000.

The previous prime is 53932059647957. The next prime is 53932059648043. The reversal of 53932059648000 is 84695023935.

53932059648000 is a `hidden beast` number, since 5 + 3 + 9 + 3 + 2 + 0 + 596 + 48 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53932059647957) and next prime (53932059648043).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7953404610 + ... + 7953411390.

Almost surely, 2^{53932059648000} is an apocalyptic number.

53932059648000 is a gapful number since it is divisible by the number (50) 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 53932059648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97342593768576).

53932059648000 is an abundant number, since it is smaller than the sum of its proper divisors (140753127889152).

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

53932059648000 is an equidigital number, since it uses as much as digits as its factorization.

53932059648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 53932059648000 in words is "fifty-three trillion, nine hundred thirty-two billion, fifty-nine million, six hundred forty-eight thousand".