25761966464000 has 704 divisors, whose sum is σ = 73490586204672. Its totient is φ = 8927576064000.

The previous prime is 25761966463997. The next prime is 25761966464099. The reversal of 25761966464000 is 46466916752.

It is a super-3 number, since 3×25761966464000³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

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, 12192126944 + ... + 12192129056.

Almost surely, 2^{25761966464000} is an apocalyptic number.

25761966464000 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 25761966464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36745293102336).

25761966464000 is an abundant number, since it is smaller than the sum of its proper divisors (47728619740672).

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

25761966464000 is a wasteful number, since it uses less digits than its factorization.

25761966464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 25761966464000 in words is "twenty-five trillion, seven hundred sixty-one billion, nine hundred sixty-six million, four hundred sixty-four thousand".