21012374073600 has 3564 divisors, whose sum is σ = 98597581600896. Its totient is φ = 4339052789760.

The previous prime is 21012374073577. The next prime is 21012374073601. The reversal of 21012374073600 is 637047321012.

21012374073600 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 2 + 3 + 7 + 40 + 7 + 3 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21012374073601) by changing a digit.

It is a polite number, since it can be written in 395 ways as a sum of consecutive naturals, for example, 447071788777 + ... + 447071788823.

Almost surely, 2^{21012374073600} is an apocalyptic number.

21012374073600 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 21012374073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49298790800448).

21012374073600 is an abundant number, since it is smaller than the sum of its proper divisors (77585207527296).

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

21012374073600 is an frugal number, since it uses more digits than its factorization.

21012374073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 21012374073600 in words is "twenty-one trillion, twelve billion, three hundred seventy-four million, seventy-three thousand, six hundred".