25020047588400 has 720 divisors, whose sum is σ = 95412329157600. Its totient is φ = 6274706964480.

The previous prime is 25020047588369. The next prime is 25020047588479. The reversal of 25020047588400 is 488574002052.

25020047588400 is a `hidden beast` number, since 2 + 5 + 0 + 20 + 0 + 4 + 7 + 588 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 2460418516 + ... + 2460428684.

It is an arithmetic number, because the mean of its divisors is an integer number (132517123830).

Almost surely, 2^{25020047588400} is an apocalyptic number.

25020047588400 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 25020047588400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47706164578800).

25020047588400 is an abundant number, since it is smaller than the sum of its proper divisors (70392281569200).

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

25020047588400 is a wasteful number, since it uses less digits than its factorization.

25020047588400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11708 (or 11685 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 25020047588400 in words is "twenty-five trillion, twenty billion, forty-seven million, five hundred eighty-eight thousand, four hundred".