21874356400 has 120 divisors (see below), whose sum is σ = 58421788544. Its totient is φ = 7816089600.

The previous prime is 21874356353. The next prime is 21874356481. The reversal of 21874356400 is 465347812.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93352 + ... + 229048.

Almost surely, 2^21874356400 is an apocalyptic number.

21874356400 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 21874356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29210894272).

21874356400 is an abundant number, since it is smaller than the sum of its proper divisors (36547432144).

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

21874356400 is a wasteful number, since it uses less digits than its factorization.

21874356400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135759 (or 135748 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 21874356400 in words is "twenty-one billion, eight hundred seventy-four million, three hundred fifty-six thousand, four hundred".