25255248552000 has 3584 divisors, whose sum is σ = 108080324352000. Its totient is φ = 5804752896000.

The previous prime is 25255248551999. The next prime is 25255248552043. The reversal of 25255248552000 is 25584255252.

25255248552000 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 52 + 48 + 552 + 0 + 0 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 231699527946 + ... + 231699528054.

It is an arithmetic number, because the mean of its divisors is an integer number (30156340500).

Almost surely, 2^{25255248552000} is an apocalyptic number.

25255248552000 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 25255248552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54040162176000).

25255248552000 is an abundant number, since it is smaller than the sum of its proper divisors (82825075800000).

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

25255248552000 is a wasteful number, since it uses less digits than its factorization.

25255248552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1600000, while the sum is 45.

The spelling of 25255248552000 in words is "twenty-five trillion, two hundred fifty-five billion, two hundred forty-eight million, five hundred fifty-two thousand".