2525928979200 has 864 divisors, whose sum is σ = 9853383843072. Its totient is φ = 562888704000.

The previous prime is 2525928979159. The next prime is 2525928979229. The reversal of 2525928979200 is 29798295252.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154379020 + ... + 154395380.

It is an arithmetic number, because the mean of its divisors is an integer number (11404379448).

Almost surely, 2^{2525928979200} is an apocalyptic number.

2525928979200 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 2525928979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926691921536).

2525928979200 is an abundant number, since it is smaller than the sum of its proper divisors (7327454863872).

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

2525928979200 is a wasteful number, since it uses less digits than its factorization.

2525928979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16461 (or 16442 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 2525928979200 in words is "two trillion, five hundred twenty-five billion, nine hundred twenty-eight million, nine hundred seventy-nine thousand, two hundred".