2525401105920 has 2880 divisors, whose sum is σ = 11886114240000. Its totient is φ = 493563248640.

The previous prime is 2525401105853. The next prime is 2525401105979. The reversal of 2525401105920 is 295011045252.

2525401105920 is a `hidden beast` number, since 2 + 5 + 2 + 54 + 0 + 1 + 10 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18168353211 + ... + 18168353349.

It is an arithmetic number, because the mean of its divisors is an integer number (4127123000).

Almost surely, 2^{2525401105920} is an apocalyptic number.

2525401105920 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 2525401105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943057120000).

2525401105920 is an abundant number, since it is smaller than the sum of its proper divisors (9360713134080).

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

2525401105920 is a wasteful number, since it uses less digits than its factorization.

2525401105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 2525401105920 in words is "two trillion, five hundred twenty-five billion, four hundred one million, one hundred five thousand, nine hundred twenty".