25776466675000 has 384 divisors, whose sum is σ = 62959970304000. Its totient is φ = 9882331200000.

The previous prime is 25776466674977. The next prime is 25776466675009. The reversal of 25776466675000 is 57666467752.

It is a self number, because there is not a number n which added to its sum of digits gives 25776466675000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25776466675009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58716324781 + ... + 58716325219.

It is an arithmetic number, because the mean of its divisors is an integer number (163958256000).

Almost surely, 2^{25776466675000} is an apocalyptic number.

25776466675000 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 25776466675000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31479985152000).

25776466675000 is an abundant number, since it is smaller than the sum of its proper divisors (37183503629000).

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

25776466675000 is a wasteful number, since it uses less digits than its factorization.

25776466675000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 61.

The spelling of 25776466675000 in words is "twenty-five trillion, seven hundred seventy-six billion, four hundred sixty-six million, six hundred seventy-five thousand".