25096406207400 has 1152 divisors, whose sum is σ = 100504367308800. Its totient is φ = 5755932057600.

The previous prime is 25096406207399. The next prime is 25096406207401. The reversal of 25096406207400 is 470260469052.

25096406207400 is a `hidden beast` number, since 2 + 509 + 6 + 40 + 62 + 0 + 7 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25096406207399) and next prime (25096406207401).

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

It is not an unprimeable number, because it can be changed into a prime (25096406207401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11041092664 + ... + 11041094936.

It is an arithmetic number, because the mean of its divisors is an integer number (87243374400).

Almost surely, 2^{25096406207400} is an apocalyptic number.

25096406207400 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 25096406207400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50252183654400).

25096406207400 is an abundant number, since it is smaller than the sum of its proper divisors (75407961101400).

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

25096406207400 is a wasteful number, since it uses less digits than its factorization.

25096406207400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 25096406207400 in words is "twenty-five trillion, ninety-six billion, four hundred six million, two hundred seven thousand, four hundred".