25576682040 has 512 divisors, whose sum is σ = 110460672000. Its totient is φ = 5112004608.

The previous prime is 25576682023. The next prime is 25576682057. The reversal of 25576682040 is 4028667552.

It is an interprime number because it is at equal distance from previous prime (25576682023) and next prime (25576682057).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1860472 + ... + 1874168.

It is an arithmetic number, because the mean of its divisors is an integer number (215743500).

Almost surely, 2^25576682040 is an apocalyptic number.

25576682040 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 25576682040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55230336000).

25576682040 is an abundant number, since it is smaller than the sum of its proper divisors (84883989960).

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

25576682040 is a wasteful number, since it uses less digits than its factorization.

25576682040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13756 (or 13746 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 25576682040 in words is "twenty-five billion, five hundred seventy-six million, six hundred eighty-two thousand, forty".