26748570168000 has 1792 divisors, whose sum is σ = 105745488076800. Its totient is φ = 6596016537600.

The previous prime is 26748570167987. The next prime is 26748570168049. The reversal of 26748570168000 is 86107584762.

26748570168000 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 8 + 570 + 1 + 68 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 74508551821 + ... + 74508552179.

Almost surely, 2^{26748570168000} is an apocalyptic number.

26748570168000 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 26748570168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52872744038400).

26748570168000 is an abundant number, since it is smaller than the sum of its proper divisors (78996917908800).

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

26748570168000 is a wasteful number, since it uses less digits than its factorization.

26748570168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 26748570168000 in words is "twenty-six trillion, seven hundred forty-eight billion, five hundred seventy million, one hundred sixty-eight thousand".