20215364400 has 1440 divisors, whose sum is σ = 94430289408. Its totient is φ = 4031078400.

The previous prime is 20215364383. The next prime is 20215364417. The reversal of 20215364400 is 446351202.

20215364400 is a `hidden beast` number, since 2 + 0 + 2 + 15 + 3 + 644 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20215364383) and next prime (20215364417).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 276922764 + ... + 276922836.

Almost surely, 2^20215364400 is an apocalyptic number.

20215364400 is a gapful number since it is divisible by the number (20) 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 20215364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47215144704).

20215364400 is an abundant number, since it is smaller than the sum of its proper divisors (74214925008).

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

20215364400 is a wasteful number, since it uses less digits than its factorization.

20215364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 20215364400 in words is "twenty billion, two hundred fifteen million, three hundred sixty-four thousand, four hundred".