25020416160 has 192 divisors, whose sum is σ = 89435404800. Its totient is φ = 6530098176.

The previous prime is 25020416147. The next prime is 25020416167. The reversal of 25020416160 is 6161402052.

25020416160 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 0 + 41 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25020416167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141426 + ... + 264654.

It is an arithmetic number, because the mean of its divisors is an integer number (465809400).

Almost surely, 2^25020416160 is an apocalyptic number.

25020416160 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 25020416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44717702400).

25020416160 is an abundant number, since it is smaller than the sum of its proper divisors (64414988640).

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

25020416160 is a wasteful number, since it uses less digits than its factorization.

25020416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123300 (or 123286 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 25020416160 in words is "twenty-five billion, twenty million, four hundred sixteen thousand, one hundred sixty".