20457520512 has 256 divisors, whose sum is σ = 64477969920. Its totient is φ = 5665259520.

The previous prime is 20457520507. The next prime is 20457520519. The reversal of 20457520512 is 21502575402.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20457520519) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5654128 + ... + 5657744.

It is an arithmetic number, because the mean of its divisors is an integer number (251867070).

Almost surely, 2^20457520512 is an apocalyptic number.

20457520512 is a gapful number since it is divisible by the number (22) 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 20457520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32238984960).

20457520512 is an abundant number, since it is smaller than the sum of its proper divisors (44020449408).

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

20457520512 is a wasteful number, since it uses less digits than its factorization.

20457520512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

The spelling of 20457520512 in words is "twenty billion, four hundred fifty-seven million, five hundred twenty thousand, five hundred twelve".