25709276917632 has 1536 divisors, whose sum is σ = 91592769945600. Its totient is φ = 6310047744000.

The previous prime is 25709276917613. The next prime is 25709276917633. The reversal of 25709276917632 is 23671967290752.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25709276917633) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61358655919 + ... + 61358656337.

It is an arithmetic number, because the mean of its divisors is an integer number (59630709600).

Almost surely, 2^{25709276917632} is an apocalyptic number.

25709276917632 is a gapful number since it is divisible by the number (22) 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 25709276917632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45796384972800).

25709276917632 is an abundant number, since it is smaller than the sum of its proper divisors (65883493027968).

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

25709276917632 is a wasteful number, since it uses less digits than its factorization.

25709276917632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 66.

The spelling of 25709276917632 in words is "twenty-five trillion, seven hundred nine billion, two hundred seventy-six million, nine hundred seventeen thousand, six hundred thirty-two".