25634466330240 has 128 divisors (see below), whose sum is σ = 81801986209920. Its totient is φ = 6828150517760.

The previous prime is 25634466330203. The next prime is 25634466330251. The reversal of 25634466330240 is 4203366443652.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 25634466330240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5823051 + ... + 9229130.

It is an arithmetic number, because the mean of its divisors is an integer number (639078017265).

Almost surely, 2^{25634466330240} is an apocalyptic number.

25634466330240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25634466330240 is an abundant number, since it is smaller than the sum of its proper divisors (56167519879680).

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

25634466330240 is a wasteful number, since it uses less digits than its factorization.

25634466330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15053090 (or 15053078 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 48.

The spelling of 25634466330240 in words is "twenty-five trillion, six hundred thirty-four billion, four hundred sixty-six million, three hundred thirty thousand, two hundred forty".