26956800000 has 840 divisors, whose sum is σ = 108402444612. Its totient is φ = 6635520000.

The previous prime is 26956799999. The next prime is 26956800001. The reversal of 26956800000 is 865962.

It is an interprime number because it is at equal distance from previous prime (26956799999) and next prime (26956800001).

It can be written as a sum of positive squares in 6 ways, for example, as 7365758976 + 19591041024 = 85824^2 + 139968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26956800001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2073599994 + ... + 2073600006.

Almost surely, 2^26956800000 is an apocalyptic number.

26956800000 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 26956800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54201222306).

26956800000 is an abundant number, since it is smaller than the sum of its proper divisors (81445644612).

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

26956800000 is an frugal number, since it uses more digits than its factorization.

26956800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 26956800000 in words is "twenty-six billion, nine hundred fifty-six million, eight hundred thousand".