21172092480 has 1008 divisors, whose sum is σ = 96594436224. Its totient is φ = 4201021440.

The previous prime is 21172092421. The next prime is 21172092493. The reversal of 21172092480 is 8429027112.

21172092480 is a `hidden beast` number, since 2 + 1 + 172 + 0 + 9 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×21172092480³ (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35703064 + ... + 35703656.

Almost surely, 2^21172092480 is an apocalyptic number.

21172092480 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 21172092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48297218112).

21172092480 is an abundant number, since it is smaller than the sum of its proper divisors (75422343744).

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

21172092480 is a wasteful number, since it uses less digits than its factorization.

21172092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 21172092480 in words is "twenty-one billion, one hundred seventy-two million, ninety-two thousand, four hundred eighty".