25716775260000 has 480 divisors, whose sum is σ = 94512158028288. Its totient is φ = 6065867520000.

The previous prime is 25716775259993. The next prime is 25716775260013. The reversal of 25716775260000 is 6257761752.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×25716775260000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 23893449 + ... + 24946551.

Almost surely, 2^{25716775260000} is an apocalyptic number.

25716775260000 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 25716775260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47256079014144).

25716775260000 is an abundant number, since it is smaller than the sum of its proper divisors (68795382768288).

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

25716775260000 is a wasteful number, since it uses less digits than its factorization.

25716775260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053184 (or 1053161 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 25716775260000 in words is "twenty-five trillion, seven hundred sixteen billion, seven hundred seventy-five million, two hundred sixty thousand".