25095470400 has 1008 divisors, whose sum is σ = 119827413888. Its totient is φ = 4810752000.

The previous prime is 25095470381. The next prime is 25095470419. The reversal of 25095470400 is 407459052.

It is an interprime number because it is at equal distance from previous prime (25095470381) and next prime (25095470419).

It is a tau number, because it is divible by the number of its divisors (1008).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14413530 + ... + 14415270.

Almost surely, 2^25095470400 is an apocalyptic number.

25095470400 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 25095470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59913706944).

25095470400 is an abundant number, since it is smaller than the sum of its proper divisors (94731943488).

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

25095470400 is a wasteful number, since it uses less digits than its factorization.

25095470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 25095470400 in words is "twenty-five billion, ninety-five million, four hundred seventy thousand, four hundred".