21692484113040 has 1200 divisors, whose sum is σ = 86563045324800. Its totient is φ = 5018208878592.

The previous prime is 21692484112993. The next prime is 21692484113087. The reversal of 21692484113040 is 4031148429612.

21692484113040 is a `hidden beast` number, since 2 + 1 + 6 + 92 + 484 + 11 + 30 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (21692484112993) and next prime (21692484113087).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2642520456 + ... + 2642528664.

It is an arithmetic number, because the mean of its divisors is an integer number (72135871104).

Almost surely, 2^{21692484113040} is an apocalyptic number.

21692484113040 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 21692484113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43281522662400).

21692484113040 is an abundant number, since it is smaller than the sum of its proper divisors (64870561211760).

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

21692484113040 is a wasteful number, since it uses less digits than its factorization.

21692484113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8406 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 21692484113040 in words is "twenty-one trillion, six hundred ninety-two billion, four hundred eighty-four million, one hundred thirteen thousand, forty".