53613689600 has 216 divisors, whose sum is σ = 136619880768. Its totient is φ = 20819968000.

The previous prime is 53613689557. The next prime is 53613689627. The reversal of 53613689600 is 698631635.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41208950 + ... + 41210250.

It is an arithmetic number, because the mean of its divisors is an integer number (632499448).

Almost surely, 2^53613689600 is an apocalyptic number.

53613689600 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 53613689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68309940384).

53613689600 is an abundant number, since it is smaller than the sum of its proper divisors (83006191168).

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

53613689600 is a wasteful number, since it uses less digits than its factorization.

53613689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 53613689600 in words is "fifty-three billion, six hundred thirteen million, six hundred eighty-nine thousand, six hundred".