21008435374080 has 3456 divisors, whose sum is σ = 98048178708480. Its totient is φ = 4192321536000.

The previous prime is 21008435374039. The next prime is 21008435374081. The reversal of 21008435374080 is 8047353480012.

21008435374080 is a `hidden beast` number, since 2 + 100 + 8 + 4 + 3 + 537 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (21008435374081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 160369735615 + ... + 160369735745.

It is an arithmetic number, because the mean of its divisors is an integer number (28370422080).

Almost surely, 2^{21008435374080} is an apocalyptic number.

21008435374080 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 21008435374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49024089354240).

21008435374080 is an abundant number, since it is smaller than the sum of its proper divisors (77039743334400).

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

21008435374080 is an equidigital number, since it uses as much as digits as its factorization.

21008435374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 21008435374080 in words is "twenty-one trillion, eight billion, four hundred thirty-five million, three hundred seventy-four thousand, eighty".