25530090969600 has 5760 divisors, whose sum is σ = 124716177653760. Its totient is φ = 4992565248000.

The previous prime is 25530090969553. The next prime is 25530090969671. The reversal of 25530090969600 is 696909003552.

25530090969600 is a `hidden beast` number, since 25 + 5 + 3 + 0 + 0 + 9 + 0 + 9 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 622685145580 + ... + 622685145620.

It is an arithmetic number, because the mean of its divisors is an integer number (21652114176).

Almost surely, 2^{25530090969600} is an apocalyptic number.

25530090969600 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 25530090969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62358088826880).

25530090969600 is an abundant number, since it is smaller than the sum of its proper divisors (99186086684160).

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

25530090969600 is a wasteful number, since it uses less digits than its factorization.

25530090969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 25530090969600 in words is "twenty-five trillion, five hundred thirty billion, ninety million, nine hundred sixty-nine thousand, six hundred".