25634073420480 has 336 divisors, whose sum is σ = 94837439886336. Its totient is φ = 5849228851200.

The previous prime is 25634073420463. The next prime is 25634073420539. The reversal of 25634073420480 is 8402437043652.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27148305 + ... + 28076655.

It is an arithmetic number, because the mean of its divisors is an integer number (282254285376).

Almost surely, 2^{25634073420480} is an apocalyptic number.

25634073420480 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 25634073420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47418719943168).

25634073420480 is an abundant number, since it is smaller than the sum of its proper divisors (69203366465856).

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

25634073420480 is a wasteful number, since it uses less digits than its factorization.

25634073420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928972 (or 928955 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 25634073420480 in words is "twenty-five trillion, six hundred thirty-four billion, seventy-three million, four hundred twenty thousand, four hundred eighty".