20281124095680 has 448 divisors, whose sum is σ = 76816294871040. Its totient is φ = 4432681414656.

The previous prime is 20281124095667. The next prime is 20281124095693. The reversal of 20281124095680 is 8659042118202.

It is an interprime number because it is at equal distance from previous prime (20281124095667) and next prime (20281124095693).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×20281124095680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 511110081 + ... + 511149759.

Almost surely, 2^{20281124095680} is an apocalyptic number.

20281124095680 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 20281124095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38408147435520).

20281124095680 is an abundant number, since it is smaller than the sum of its proper divisors (56535170775360).

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

20281124095680 is a wasteful number, since it uses less digits than its factorization.

20281124095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43036 (or 43026 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 20281124095680 in words is "twenty trillion, two hundred eighty-one billion, one hundred twenty-four million, ninety-five thousand, six hundred eighty".