25524564480 has 640 divisors, whose sum is σ = 94703938560. Its totient is φ = 6593052672.

The previous prime is 25524564467. The next prime is 25524564493. The reversal of 25524564480 is 8446542552.

25524564480 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 4 + 564 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (25524564467) and next prime (25524564493).

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 263139792 + ... + 263139888.

It is an arithmetic number, because the mean of its divisors is an integer number (147974904).

Almost surely, 2^25524564480 is an apocalyptic number.

25524564480 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 25524564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47351969280).

25524564480 is an abundant number, since it is smaller than the sum of its proper divisors (69179374080).

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

25524564480 is an frugal number, since it uses more digits than its factorization.

25524564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 25524564480 in words is "twenty-five billion, five hundred twenty-four million, five hundred sixty-four thousand, four hundred eighty".