20177166240 has 864 divisors, whose sum is σ = 88089700608. Its totient is φ = 4115865600.

The previous prime is 20177166173. The next prime is 20177166259. The reversal of 20177166240 is 4266177102.

20177166240 is a `hidden beast` number, since 2 + 0 + 17 + 7 + 16 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20177166195 and 20177166204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86597164 + ... + 86597396.

It is an arithmetic number, because the mean of its divisors is an integer number (101955672).

Almost surely, 2^20177166240 is an apocalyptic number.

20177166240 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 20177166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44044850304).

20177166240 is an abundant number, since it is smaller than the sum of its proper divisors (67912534368).

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

20177166240 is a wasteful number, since it uses less digits than its factorization.

20177166240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 20177166240 in words is "twenty billion, one hundred seventy-seven million, one hundred sixty-six thousand, two hundred forty".