20315253362400 has 288 divisors, whose sum is σ = 74200968021600. Its totient is φ = 5363762688000.

The previous prime is 20315253362297. The next prime is 20315253362461. The reversal of 20315253362400 is 426335251302.

20315253362400 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 5 + 25 + 3 + 3 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2474445 + ... + 6837644.

It is an arithmetic number, because the mean of its divisors is an integer number (257642250075).

Almost surely, 2^{20315253362400} is an apocalyptic number.

20315253362400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20315253362400 is an abundant number, since it is smaller than the sum of its proper divisors (53885714659200).

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

20315253362400 is a wasteful number, since it uses less digits than its factorization.

20315253362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9312219 (or 9312200 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 20315253362400 in words is "twenty trillion, three hundred fifteen billion, two hundred fifty-three million, three hundred sixty-two thousand, four hundred".