25250555805552 has 640 divisors, whose sum is σ = 92290378752000. Its totient is φ = 6419635845120.

The previous prime is 25250555805551. The next prime is 25250555805623. The reversal of 25250555805552 is 25550855505252.

25250555805552 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 0 + 5 + 5 + 5 + 80 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25250555805551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 457252599 + ... + 457307817.

It is an arithmetic number, because the mean of its divisors is an integer number (144203716800).

Almost surely, 2^{25250555805552} is an apocalyptic number.

25250555805552 is a gapful number since it is divisible by the number (22) 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 25250555805552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46145189376000).

25250555805552 is an abundant number, since it is smaller than the sum of its proper divisors (67039822946448).

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

25250555805552 is a wasteful number, since it uses less digits than its factorization.

25250555805552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55546 (or 55534 counting only the distinct ones).

The product of its (nonzero) digits is 25000000, while the sum is 54.

The spelling of 25250555805552 in words is "twenty-five trillion, two hundred fifty billion, five hundred fifty-five million, eight hundred five thousand, five hundred fifty-two".