25379496979200 has 4536 divisors, whose sum is σ = 122250532985952. Its totient is φ = 5076650557440.

The previous prime is 25379496979189. The next prime is 25379496979231. The reversal of 25379496979200 is 297969497352.

25379496979200 is a `hidden beast` number, since 2 + 5 + 379 + 49 + 6 + 9 + 7 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 224597318344 + ... + 224597318456.

Almost surely, 2^{25379496979200} is an apocalyptic number.

25379496979200 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 25379496979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61125266492976).

25379496979200 is an abundant number, since it is smaller than the sum of its proper divisors (96871036006752).

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

25379496979200 is a wasteful number, since it uses less digits than its factorization.

25379496979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 25379496979200 in words is "twenty-five trillion, three hundred seventy-nine billion, four hundred ninety-six million, nine hundred seventy-nine thousand, two hundred".