25085084400 has 1080 divisors, whose sum is σ = 103094234880. Its totient is φ = 5837598720.

The previous prime is 25085084399. The next prime is 25085084411. The reversal of 25085084400 is 448058052.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×25085084400² (a number of 22 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 533725177 + ... + 533725223.

Almost surely, 2^25085084400 is an apocalyptic number.

25085084400 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 25085084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51547117440).

25085084400 is an abundant number, since it is smaller than the sum of its proper divisors (78009150480).

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

25085084400 is a wasteful number, since it uses less digits than its factorization.

25085084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 25085084400 in words is "twenty-five billion, eighty-five million, eighty-four thousand, four hundred".