21989024257200 has 2880 divisors, whose sum is σ = 97758319067136. Its totient is φ = 4110289920000.

The previous prime is 21989024257153. The next prime is 21989024257241. The reversal of 21989024257200 is 275242098912.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 145622677125 + ... + 145622677275.

Almost surely, 2^{21989024257200} is an apocalyptic number.

21989024257200 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 21989024257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48879159533568).

21989024257200 is an abundant number, since it is smaller than the sum of its proper divisors (75769294809936).

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

21989024257200 is a wasteful number, since it uses less digits than its factorization.

21989024257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 21989024257200 in words is "twenty-one trillion, nine hundred eighty-nine billion, twenty-four million, two hundred fifty-seven thousand, two hundred".