26900899200 has 768 divisors, whose sum is σ = 118486464000. Its totient is φ = 5822668800.

The previous prime is 26900899183. The next prime is 26900899231. The reversal of 26900899200 is 299800962.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11490030 + ... + 11492370.

It is an arithmetic number, because the mean of its divisors is an integer number (154279250).

Almost surely, 2^26900899200 is an apocalyptic number.

26900899200 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 26900899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59243232000).

26900899200 is an abundant number, since it is smaller than the sum of its proper divisors (91585564800).

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

26900899200 is a wasteful number, since it uses less digits than its factorization.

26900899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 26900899200 in words is "twenty-six billion, nine hundred million, eight hundred ninety-nine thousand, two hundred".