20148916376160 has 1152 divisors, whose sum is σ = 83343899358720. Its totient is φ = 4482119577600.

The previous prime is 20148916376159. The next prime is 20148916376177. The reversal of 20148916376160 is 6167361984102.

20148916376160 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 8 + 9 + 16 + 3 + 7 + 616 + 0 = 666.

It is a super-2 number, since 2×20148916376160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20148916376097 and 20148916376106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35287068675 + ... + 35287069245.

It is an arithmetic number, because the mean of its divisors is an integer number (72347134860).

Almost surely, 2^{20148916376160} is an apocalyptic number.

20148916376160 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 20148916376160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41671949679360).

20148916376160 is an abundant number, since it is smaller than the sum of its proper divisors (63194982982560).

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

20148916376160 is a wasteful number, since it uses less digits than its factorization.

20148916376160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 20148916376160 in words is "twenty trillion, one hundred forty-eight billion, nine hundred sixteen million, three hundred seventy-six thousand, one hundred sixty".