26250991401600 has 5184 divisors, whose sum is σ = 127705161168000. Its totient is φ = 5282325135360.

The previous prime is 26250991401541. The next prime is 26250991401623. The reversal of 26250991401600 is 610419905262.

26250991401600 is a `hidden beast` number, since 2 + 6 + 2 + 509 + 91 + 40 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×26250991401600² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 332291030361 + ... + 332291030439.

It is an arithmetic number, because the mean of its divisors is an integer number (24634483250).

Almost surely, 2^{26250991401600} is an apocalyptic number.

26250991401600 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 26250991401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63852580584000).

26250991401600 is an abundant number, since it is smaller than the sum of its proper divisors (101454169766400).

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

26250991401600 is an equidigital number, since it uses as much as digits as its factorization.

26250991401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 26250991401600 in words is "twenty-six trillion, two hundred fifty billion, nine hundred ninety-one million, four hundred one thousand, six hundred".