53566790400 has 540 divisors, whose sum is σ = 199465816704. Its totient is φ = 14183424000.

The previous prime is 53566790327. The next prime is 53566790429. The reversal of 53566790400 is 409766535.

53566790400 is a `hidden beast` number, since 53 + 56 + 67 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 99014130 + ... + 99014670.

Almost surely, 2^53566790400 is an apocalyptic number.

53566790400 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 53566790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99732908352).

53566790400 is an abundant number, since it is smaller than the sum of its proper divisors (145899026304).

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

53566790400 is a wasteful number, since it uses less digits than its factorization.

53566790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 53566790400 in words is "fifty-three billion, five hundred sixty-six million, seven hundred ninety thousand, four hundred".