25477441920 has 896 divisors, whose sum is σ = 108364392000. Its totient is φ = 5601705984.

The previous prime is 25477441889. The next prime is 25477441937. The reversal of 25477441920 is 2914477452.

25477441920 is a `hidden beast` number, since 2 + 54 + 77 + 441 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 94711546 + ... + 94711814.

Almost surely, 2^25477441920 is an apocalyptic number.

25477441920 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 25477441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54182196000).

25477441920 is an abundant number, since it is smaller than the sum of its proper divisors (82886950080).

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

25477441920 is an equidigital number, since it uses as much as digits as its factorization.

25477441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 25477441920 in words is "twenty-five billion, four hundred seventy-seven million, four hundred forty-one thousand, nine hundred twenty".