20527525440 has 560 divisors, whose sum is σ = 76830082560. Its totient is φ = 5195612160.

The previous prime is 20527525411. The next prime is 20527525451. The reversal of 20527525440 is 4452572502.

20527525440 is a `hidden beast` number, since 205 + 2 + 7 + 5 + 2 + 5 + 440 = 666.

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 = 20527525395 and 20527525404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47407464 + ... + 47407896.

It is an arithmetic number, because the mean of its divisors is an integer number (137196576).

Almost surely, 2^20527525440 is an apocalyptic number.

20527525440 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 20527525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38415041280).

20527525440 is an abundant number, since it is smaller than the sum of its proper divisors (56302557120).

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

20527525440 is a wasteful number, since it uses less digits than its factorization.

20527525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 20527525440 in words is "twenty billion, five hundred twenty-seven million, five hundred twenty-five thousand, four hundred forty".