20502540032 has 288 divisors, whose sum is σ = 48459479040. Its totient is φ = 8580464640.

The previous prime is 20502539987. The next prime is 20502540043. The reversal of 20502540032 is 23004520502.

It is a super-2 number, since 2×20502540032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147500219 + ... + 147500357.

It is an arithmetic number, because the mean of its divisors is an integer number (168262080).

Almost surely, 2^20502540032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20502540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24229739520).

20502540032 is an abundant number, since it is smaller than the sum of its proper divisors (27956939008).

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

20502540032 is a wasteful number, since it uses less digits than its factorization.

20502540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

It can be divided in two parts, 2050 and 2540032, that multiplied together give a square (5207065600 = 72160²).

The spelling of 20502540032 in words is "twenty billion, five hundred two million, five hundred forty thousand, thirty-two".