26920512000 has 560 divisors, whose sum is σ = 100820357352. Its totient is φ = 7166361600.

The previous prime is 26920511987. The next prime is 26920512019. The reversal of 26920512000 is 21502962.

It can be written as a sum of positive squares in 4 ways, for example, as 17133762816 + 9786749184 = 130896^2 + 98928^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46655712 + ... + 46656288.

Almost surely, 2^26920512000 is an apocalyptic number.

26920512000 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 26920512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50410178676).

26920512000 is an abundant number, since it is smaller than the sum of its proper divisors (73899845352).

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

26920512000 is an frugal number, since it uses more digits than its factorization.

26920512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 26920512000 in words is "twenty-six billion, nine hundred twenty million, five hundred twelve thousand".