25422158100416 has 448 divisors, whose sum is σ = 64434706344960. Its totient is φ = 9666147778560.

The previous prime is 25422158100379. The next prime is 25422158100421. The reversal of 25422158100416 is 61400185122452.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×25422158100416² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10431741950 + ... + 10431744386.

It is an arithmetic number, because the mean of its divisors is an integer number (143827469520).

Almost surely, 2^{25422158100416} 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 25422158100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32217353172480).

25422158100416 is an abundant number, since it is smaller than the sum of its proper divisors (39012548244544).

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

25422158100416 is a wasteful number, since it uses less digits than its factorization.

25422158100416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 25422158100416 in words is "twenty-five trillion, four hundred twenty-two billion, one hundred fifty-eight million, one hundred thousand, four hundred sixteen".