53019648000 has 672 divisors, whose sum is σ = 208917064512. Its totient is φ = 12828672000.

The previous prime is 53019647951. The next prime is 53019648007. The reversal of 53019648000 is 84691035.

53019648000 is a `hidden beast` number, since 5 + 3 + 0 + 1 + 9 + 648 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×53019648000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53019648007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101375739 + ... + 101376261.

Almost surely, 2^53019648000 is an apocalyptic number.

53019648000 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 53019648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104458532256).

53019648000 is an abundant number, since it is smaller than the sum of its proper divisors (155897416512).

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

53019648000 is a wasteful number, since it uses less digits than its factorization.

53019648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 53019648000 in words is "fifty-three billion, nineteen million, six hundred forty-eight thousand".