25111171011492 has 240 divisors, whose sum is σ = 67761309665280. Its totient is φ = 8105882803200.

The previous prime is 25111171011473. The next prime is 25111171011497. The reversal of 25111171011492 is 29411017111152.

25111171011492 is a `hidden beast` number, since 2 + 51 + 1 + 1 + 17 + 101 + 1 + 492 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25111171011497) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 328775484 + ... + 328851852.

It is an arithmetic number, because the mean of its divisors is an integer number (282338790272).

Almost surely, 2^{25111171011492} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25111171011492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33880654832640).

25111171011492 is an abundant number, since it is smaller than the sum of its proper divisors (42650138653788).

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

25111171011492 is a wasteful number, since it uses less digits than its factorization.

25111171011492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76704 (or 76693 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 36.

The spelling of 25111171011492 in words is "twenty-five trillion, one hundred eleven billion, one hundred seventy-one million, eleven thousand, four hundred ninety-two".