53019908640 has 384 divisors, whose sum is σ = 190694891520. Its totient is φ = 13753580544.

The previous prime is 53019908629. The next prime is 53019908681. The reversal of 53019908640 is 4680991035.

It is a happy number.

It is a super-2 number, since 2×53019908640² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24022417 + ... + 24024623.

It is an arithmetic number, because the mean of its divisors is an integer number (496601280).

Almost surely, 2^53019908640 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 53019908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95347445760).

53019908640 is an abundant number, since it is smaller than the sum of its proper divisors (137674982880).

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

53019908640 is a wasteful number, since it uses less digits than its factorization.

53019908640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 53019908640 in words is "fifty-three billion, nineteen million, nine hundred eight thousand, six hundred forty".