26725124160 has 336 divisors, whose sum is σ = 109624709376. Its totient is φ = 5842907136.

The previous prime is 26725124123. The next prime is 26725124189. The reversal of 26725124160 is 6142152762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×26725124160² (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 47 ways as a sum of consecutive naturals, for example, 434862 + ... + 492498.

It is an arithmetic number, because the mean of its divisors is an integer number (326264016).

Almost surely, 2^26725124160 is an apocalyptic number.

26725124160 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 26725124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54812354688).

26725124160 is an abundant number, since it is smaller than the sum of its proper divisors (82899585216).

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

26725124160 is a wasteful number, since it uses less digits than its factorization.

26725124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57690 (or 57677 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 26725124160 in words is "twenty-six billion, seven hundred twenty-five million, one hundred twenty-four thousand, one hundred sixty".