25627020480 has 336 divisors, whose sum is σ = 93222275328. Its totient is φ = 6451200000.

The previous prime is 25627020473. The next prime is 25627020487. The reversal of 25627020480 is 8402072652.

25627020480 is a `hidden beast` number, since 2 + 5 + 627 + 0 + 20 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25627020473) and next prime (25627020487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25627020487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3656980 + ... + 3663980.

It is an arithmetic number, because the mean of its divisors is an integer number (277447248).

Almost surely, 2^25627020480 is an apocalyptic number.

25627020480 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 25627020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46611137664).

25627020480 is an abundant number, since it is smaller than the sum of its proper divisors (67595254848).

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

25627020480 is a wasteful number, since it uses less digits than its factorization.

25627020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 25627020480 in words is "twenty-five billion, six hundred twenty-seven million, twenty thousand, four hundred eighty".