25225206976512 has 1040 divisors, whose sum is σ = 83990710584000. Its totient is φ = 7509964750848.

The previous prime is 25225206976471. The next prime is 25225206976583. The reversal of 25225206976512 is 21567960252252.

25225206976512 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 52 + 0 + 6 + 9 + 76 + 512 = 666.

It is a super-2 number, since 2×25225206976512² (a number of 28 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 7860767164 + ... + 7860770372.

Almost surely, 2^{25225206976512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25225206976512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41995355292000).

25225206976512 is an abundant number, since it is smaller than the sum of its proper divisors (58765503607488).

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

25225206976512 is a wasteful number, since it uses less digits than its factorization.

25225206976512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 25225206976512 in words is "twenty-five trillion, two hundred twenty-five billion, two hundred six million, nine hundred seventy-six thousand, five hundred twelve".