653320053764400 has 240 divisors, whose sum is σ = 2403217500128640. Its totient is φ = 150044796979200.

The previous prime is 653320053764383. The next prime is 653320053764431. The reversal of 653320053764400 is 4467350023356.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×653320053764400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 653320053764400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1302221397 + ... + 1302722996.

It is an arithmetic number, because the mean of its divisors is an integer number (10013406250536).

Almost surely, 2^{653320053764400} is an apocalyptic number.

653320053764400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

653320053764400 is an abundant number, since it is smaller than the sum of its proper divisors (1749897446364240).

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

653320053764400 is a wasteful number, since it uses less digits than its factorization.

653320053764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604944444 (or 2604944433 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 48.

The spelling of 653320053764400 in words is "six hundred fifty-three trillion, three hundred twenty billion, fifty-three million, seven hundred sixty-four thousand, four hundred".