25009922150400 has 2496 divisors, whose sum is σ = 99830199029760. Its totient is φ = 5455321497600.

The previous prime is 25009922150399. The next prime is 25009922150407. The reversal of 25009922150400 is 405122990052.

It is not an unprimeable number, because it can be changed into a prime (25009922150407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159298867122 + ... + 159298867278.

Almost surely, 2^{25009922150400} is an apocalyptic number.

25009922150400 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 25009922150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49915099514880).

25009922150400 is an abundant number, since it is smaller than the sum of its proper divisors (74820276879360).

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

25009922150400 is a wasteful number, since it uses less digits than its factorization.

25009922150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 25009922150400 in words is "twenty-five trillion, nine billion, nine hundred twenty-two million, one hundred fifty thousand, four hundred".