25540164022464 has 1344 divisors, whose sum is σ = 96012558946304. Its totient is φ = 6551550480384.

The previous prime is 25540164022411. The next prime is 25540164022481. The reversal of 25540164022464 is 46422046104552.

25540164022464 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 0 + 164 + 0 + 22 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17221957467 + ... + 17221958949.

Almost surely, 2^{25540164022464} is an apocalyptic number.

25540164022464 is a gapful number since it is divisible by the number (24) 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 25540164022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48006279473152).

25540164022464 is an abundant number, since it is smaller than the sum of its proper divisors (70472394923840).

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

25540164022464 is a wasteful number, since it uses less digits than its factorization.

25540164022464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 25540164022464 in words is "twenty-five trillion, five hundred forty billion, one hundred sixty-four million, twenty-two thousand, four hundred sixty-four".