25034038848 has 1008 divisors, whose sum is σ = 98632060800. Its totient is φ = 6254889984.

The previous prime is 25034038811. The next prime is 25034038849. The reversal of 25034038848 is 84883043052.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×25034038848³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (25034038849) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1317580983 + ... + 1317581001.

Almost surely, 2^25034038848 is an apocalyptic number.

25034038848 is a gapful number since it is divisible by the number (28) 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 25034038848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49316030400).

25034038848 is an abundant number, since it is smaller than the sum of its proper divisors (73598021952).

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

25034038848 is an equidigital number, since it uses as much as digits as its factorization.

25034038848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 25034038848 in words is "twenty-five billion, thirty-four million, thirty-eight thousand, eight hundred forty-eight".