25405262400 has 672 divisors, whose sum is σ = 102319165440. Its totient is φ = 5386567680.

The previous prime is 25405262347. The next prime is 25405262411. The reversal of 25405262400 is 426250452.

It is a happy number.

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

It is a super-2 number, since 2×25405262400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45124519 + ... + 45125081.

Almost surely, 2^25405262400 is an apocalyptic number.

25405262400 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 25405262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51159582720).

25405262400 is an abundant number, since it is smaller than the sum of its proper divisors (76913903040).

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

25405262400 is a wasteful number, since it uses less digits than its factorization.

25405262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 25405262400 in words is "twenty-five billion, four hundred five million, two hundred sixty-two thousand, four hundred".