25503166080 has 768 divisors, whose sum is σ = 110327443200. Its totient is φ = 5293080576.

The previous prime is 25503166079. The next prime is 25503166103. The reversal of 25503166080 is 8066130552.

25503166080 is a `hidden beast` number, since 2 + 5 + 503 + 16 + 60 + 80 = 666.

It is a super-2 number, since 2×25503166080² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19877119 + ... + 19878401.

It is an arithmetic number, because the mean of its divisors is an integer number (143655525).

Almost surely, 2^25503166080 is an apocalyptic number.

25503166080 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 25503166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55163721600).

25503166080 is an abundant number, since it is smaller than the sum of its proper divisors (84824277120).

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

25503166080 is a wasteful number, since it uses less digits than its factorization.

25503166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 25503166080 in words is "twenty-five billion, five hundred three million, one hundred sixty-six thousand, eighty".