26845852745040 has 960 divisors, whose sum is σ = 105153861150720. Its totient is φ = 5533103001600.

The previous prime is 26845852744957. The next prime is 26845852745051. The reversal of 26845852745040 is 4054725854862.

It is a super-4 number, since 4×26845852745040⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1871175147 + ... + 1871189493.

It is an arithmetic number, because the mean of its divisors is an integer number (109535272032).

Almost surely, 2^{26845852745040} is an apocalyptic number.

26845852745040 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 26845852745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52576930575360).

26845852745040 is an abundant number, since it is smaller than the sum of its proper divisors (78308008405680).

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

26845852745040 is a wasteful number, since it uses less digits than its factorization.

26845852745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14512 (or 14475 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 60.

The spelling of 26845852745040 in words is "twenty-six trillion, eight hundred forty-five billion, eight hundred fifty-two million, seven hundred forty-five thousand, forty".