20072757024 has 144 divisors (see below), whose sum is σ = 60149325600. Its totient is φ = 6332110848.

The previous prime is 20072756993. The next prime is 20072757031. The reversal of 20072757024 is 42075727002.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20072757024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9427192 + ... + 9429320.

It is an arithmetic number, because the mean of its divisors is an integer number (417703650).

Almost surely, 2^20072757024 is an apocalyptic number.

20072757024 is a gapful number since it is divisible by the number (24) 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 20072757024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30074662800).

20072757024 is an abundant number, since it is smaller than the sum of its proper divisors (40076568576).

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

20072757024 is a wasteful number, since it uses less digits than its factorization.

20072757024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The spelling of 20072757024 in words is "twenty billion, seventy-two million, seven hundred fifty-seven thousand, twenty-four".