25078126500 has 360 divisors, whose sum is σ = 95183400312. Its totient is φ = 5731689600.

The previous prime is 25078126427. The next prime is 25078126517. The reversal of 25078126500 is 562187052.

It is a happy number.

25078126500 is a `hidden beast` number, since 2 + 50 + 7 + 81 + 26 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4698279936 + 20379846564 = 68544^2 + 142758^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1978182 + ... + 1990818.

Almost surely, 2^25078126500 is an apocalyptic number.

25078126500 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 25078126500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47591700156).

25078126500 is an abundant number, since it is smaller than the sum of its proper divisors (70105273812).

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

25078126500 is a wasteful number, since it uses less digits than its factorization.

25078126500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12682 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 25078126500 in words is "twenty-five billion, seventy-eight million, one hundred twenty-six thousand, five hundred".