25552451654400 has 648 divisors, whose sum is σ = 92757624854272. Its totient is φ = 6190119936000.

The previous prime is 25552451654399. The next prime is 25552451654441. The reversal of 25552451654400 is 445615425552.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25552451654400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4253776197 + ... + 4253782203.

Almost surely, 2^{25552451654400} is an apocalyptic number.

25552451654400 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 25552451654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46378812427136).

25552451654400 is an abundant number, since it is smaller than the sum of its proper divisors (67205173199872).

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

25552451654400 is a wasteful number, since it uses less digits than its factorization.

25552451654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7889 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 4800000, while the sum is 48.

The spelling of 25552451654400 in words is "twenty-five trillion, five hundred fifty-two billion, four hundred fifty-one million, six hundred fifty-four thousand, four hundred".