53666516400 has 480 divisors, whose sum is σ = 206077762560. Its totient is φ = 11672432640.

The previous prime is 53666516381. The next prime is 53666516401. The reversal of 53666516400 is 461566635.

53666516400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53666516400² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is not an unprimeable number, because it can be changed into a prime (53666516401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44242194 + ... + 44243406.

It is an arithmetic number, because the mean of its divisors is an integer number (429328672).

Almost surely, 2^53666516400 is an apocalyptic number.

53666516400 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 53666516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103038881280).

53666516400 is an abundant number, since it is smaller than the sum of its proper divisors (152411246160).

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

53666516400 is a wasteful number, since it uses less digits than its factorization.

53666516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 53666516400 in words is "fifty-three billion, six hundred sixty-six million, five hundred sixteen thousand, four hundred".