25623198720 has 352 divisors, whose sum is σ = 104072755200. Its totient is φ = 5856509952.

The previous prime is 25623198719. The next prime is 25623198721. The reversal of 25623198720 is 2789132652.

25623198720 is a `hidden beast` number, since 2 + 5 + 623 + 19 + 8 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25623198719) and next prime (25623198721).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25623198721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954441 + ... + 980919.

Almost surely, 2^25623198720 is an apocalyptic number.

25623198720 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 25623198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52036377600).

25623198720 is an abundant number, since it is smaller than the sum of its proper divisors (78449556480).

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

25623198720 is a wasteful number, since it uses less digits than its factorization.

25623198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26520 (or 26496 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 25623198720 in words is "twenty-five billion, six hundred twenty-three million, one hundred ninety-eight thousand, seven hundred twenty".