25500767040 has 672 divisors, whose sum is σ = 109061731584. Its totient is φ = 5334958080.

The previous prime is 25500767011. The next prime is 25500767041. The reversal of 25500767040 is 4076700552.

25500767040 is a `hidden beast` number, since 2 + 550 + 0 + 7 + 67 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 25500766986 and 25500767004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25500767041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12679635 + ... + 12681645.

Almost surely, 2^25500767040 is an apocalyptic number.

25500767040 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 25500767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54530865792).

25500767040 is an abundant number, since it is smaller than the sum of its proper divisors (83560964544).

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

25500767040 is a wasteful number, since it uses less digits than its factorization.

25500767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 25500767040 in words is "twenty-five billion, five hundred million, seven hundred sixty-seven thousand, forty".