21407521200 has 240 divisors, whose sum is σ = 76234454016. Its totient is φ = 5099443200.

The previous prime is 21407521159. The next prime is 21407521241. The reversal of 21407521200 is 212570412.

It is an interprime number because it is at equal distance from previous prime (21407521159) and next prime (21407521241).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 461467 + ... + 505733.

Almost surely, 2^21407521200 is an apocalyptic number.

21407521200 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 21407521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38117227008).

21407521200 is an abundant number, since it is smaller than the sum of its proper divisors (54826932816).

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

21407521200 is a wasteful number, since it uses less digits than its factorization.

21407521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44332 (or 44321 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The spelling of 21407521200 in words is "twenty-one billion, four hundred seven million, five hundred twenty-one thousand, two hundred".