25008468480 has 240 divisors, whose sum is σ = 87803721720. Its totient is φ = 6577127424.

The previous prime is 25008468479. The next prime is 25008468493. The reversal of 25008468480 is 8486480052.

25008468480 is a `hidden beast` number, since 2 + 500 + 8 + 4 + 68 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17716674816 + 7291793664 = 133104^2 + 85392^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1674486 + ... + 1689354.

Almost surely, 2^25008468480 is an apocalyptic number.

25008468480 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 25008468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43901860860).

25008468480 is an abundant number, since it is smaller than the sum of its proper divisors (62795253240).

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

25008468480 is a wasteful number, since it uses less digits than its factorization.

25008468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14971 (or 14952 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 25008468480 in words is "twenty-five billion, eight million, four hundred sixty-eight thousand, four hundred eighty".