21930152387400 has 384 divisors, whose sum is σ = 77086896480000. Its totient is φ = 5729269708800.

The previous prime is 21930152387309. The next prime is 21930152387441. The reversal of 21930152387400 is 478325103912.

It is a happy number.

21930152387400 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 0 + 1 + 5 + 238 + 7 + 400 = 666.

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 95 ways as a sum of consecutive naturals, for example, 52176085 + ... + 52594715.

It is an arithmetic number, because the mean of its divisors is an integer number (200747126250).

Almost surely, 2^{21930152387400} is an apocalyptic number.

21930152387400 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 21930152387400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38543448240000).

21930152387400 is an abundant number, since it is smaller than the sum of its proper divisors (55156744092600).

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

21930152387400 is a wasteful number, since it uses less digits than its factorization.

21930152387400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418854 (or 418839 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21930152387400 in words is "twenty-one trillion, nine hundred thirty billion, one hundred fifty-two million, three hundred eighty-seven thousand, four hundred".