21631349205000 has 240 divisors, whose sum is σ = 73879343151900. Its totient is φ = 5715437760000.

The previous prime is 21631349204963. The next prime is 21631349205061. The reversal of 21631349205000 is 50294313612.

21631349205000 is a `hidden beast` number, since 2 + 1 + 6 + 31 + 34 + 92 + 0 + 500 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 3423735911556 + 18207613293444 = 1850334^2 + 4267038^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2699970 + ... + 7110030.

Almost surely, 2^{21631349205000} is an apocalyptic number.

21631349205000 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 21631349205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36939671575950).

21631349205000 is an abundant number, since it is smaller than the sum of its proper divisors (52247993946900).

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

21631349205000 is a wasteful number, since it uses less digits than its factorization.

21631349205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410202 (or 4410180 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 21631349205000 in words is "twenty-one trillion, six hundred thirty-one billion, three hundred forty-nine million, two hundred five thousand".