20529815040 has 640 divisors, whose sum is σ = 84191754240. Its totient is φ = 4644864000.

The previous prime is 20529815017. The next prime is 20529815041. The reversal of 20529815040 is 4051892502.

20529815040 is a `hidden beast` number, since 2 + 0 + 529 + 81 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×20529815040² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20529814986 and 20529815004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20529815041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73059700 + ... + 73059980.

It is an arithmetic number, because the mean of its divisors is an integer number (131549616).

Almost surely, 2^20529815040 is an apocalyptic number.

20529815040 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 20529815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42095877120).

20529815040 is an abundant number, since it is smaller than the sum of its proper divisors (63661939200).

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

20529815040 is a wasteful number, since it uses less digits than its factorization.

20529815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 20529815040 in words is "twenty billion, five hundred twenty-nine million, eight hundred fifteen thousand, forty".