26101940160 has 224 divisors, whose sum is σ = 84392243712. Its totient is φ = 6833827840.

The previous prime is 26101940141. The next prime is 26101940171. The reversal of 26101940160 is 6104910162.

It is a happy number.

It is a super-2 number, since 2×26101940160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19970227 + ... + 19971533.

It is an arithmetic number, because the mean of its divisors is an integer number (376751088).

Almost surely, 2^26101940160 is an apocalyptic number.

26101940160 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 26101940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42196121856).

26101940160 is an abundant number, since it is smaller than the sum of its proper divisors (58290303552).

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

26101940160 is a wasteful number, since it uses less digits than its factorization.

26101940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 26101940160 in words is "twenty-six billion, one hundred one million, nine hundred forty thousand, one hundred sixty".