21311492567040 has 832 divisors, whose sum is σ = 82021119761280. Its totient is φ = 5218385264640.

The previous prime is 21311492566999. The next prime is 21311492567081. The reversal of 21311492567040 is 4076529411312.

21311492567040 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 1 + 49 + 2 + 567 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (21311492566999) and next prime (21311492567081).

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1387368960 + ... + 1387384320.

Almost surely, 2^{21311492567040} is an apocalyptic number.

21311492567040 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 21311492567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41010559880640).

21311492567040 is an abundant number, since it is smaller than the sum of its proper divisors (60709627194240).

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

21311492567040 is a wasteful number, since it uses less digits than its factorization.

21311492567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15605 (or 15577 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21311492567040 in words is "twenty-one trillion, three hundred eleven billion, four hundred ninety-two million, five hundred sixty-seven thousand, forty".