25746478206384 has 320 divisors, whose sum is σ = 75755276352000. Its totient is φ = 7469521920000.

The previous prime is 25746478206353. The next prime is 25746478206431. The reversal of 25746478206384 is 48360287464752.

It is a super-2 number, since 2×25746478206384² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5538065692 + ... + 5538070340.

It is an arithmetic number, because the mean of its divisors is an integer number (236735238600).

Almost surely, 2^{25746478206384} is an apocalyptic number.

25746478206384 is a gapful number since it is divisible by the number (24) 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 25746478206384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37877638176000).

25746478206384 is an abundant number, since it is smaller than the sum of its proper divisors (50008798145616).

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

25746478206384 is a wasteful number, since it uses less digits than its factorization.

25746478206384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6804 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 66.

The spelling of 25746478206384 in words is "twenty-five trillion, seven hundred forty-six billion, four hundred seventy-eight million, two hundred six thousand, three hundred eighty-four".