21474072000 has 560 divisors, whose sum is σ = 82081908480. Its totient is φ = 5536512000.

The previous prime is 21474071897. The next prime is 21474072013. The reversal of 21474072000 is 27047412.

It is a happy number.

It is a super-2 number, since 2×21474072000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20087466 + ... + 20088534.

Almost surely, 2^21474072000 is an apocalyptic number.

21474072000 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 21474072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040954240).

21474072000 is an abundant number, since it is smaller than the sum of its proper divisors (60607836480).

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

21474072000 is a wasteful number, since it uses less digits than its factorization.

21474072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 21474072000 in words is "twenty-one billion, four hundred seventy-four million, seventy-two thousand".