25672784040 has 96 divisors (see below), whose sum is σ = 87827968800. Its totient is φ = 6485754240.

The previous prime is 25672783991. The next prime is 25672784057. The reversal of 25672784040 is 4048727652.

It is a happy number.

25672784040 is a `hidden beast` number, since 2 + 567 + 2 + 7 + 8 + 40 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 1869826 + ... + 1883505.

It is an arithmetic number, because the mean of its divisors is an integer number (914874675).

Almost surely, 2^25672784040 is an apocalyptic number.

25672784040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25672784040 is an abundant number, since it is smaller than the sum of its proper divisors (62155184760).

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

25672784040 is a wasteful number, since it uses less digits than its factorization.

25672784040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753367 (or 3753360 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 25672784040 in words is "twenty-five billion, six hundred seventy-two million, seven hundred eighty-four thousand, forty".