21074976000 has 648 divisors, whose sum is σ = 82305653976. Its totient is φ = 5175705600.

The previous prime is 21074975989. The next prime is 21074976017. The reversal of 21074976000 is 67947012.

It is a happy number.

21074976000 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 49 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 21041243136 + 33732864 = 145056^2 + 5808^2 .

It is a super-2 number, since 2×21074976000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48671784 + ... + 48672216.

Almost surely, 2^21074976000 is an apocalyptic number.

21074976000 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 21074976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41152826988).

21074976000 is an abundant number, since it is smaller than the sum of its proper divisors (61230677976).

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

21074976000 is a wasteful number, since it uses less digits than its factorization.

21074976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 21074976000 in words is "twenty-one billion, seventy-four million, nine hundred seventy-six thousand".