26870188800 has 810 divisors, whose sum is σ = 111751094868. Its totient is φ = 5669314560.

The previous prime is 26870188799. The next prime is 26870188837. The reversal of 26870188800 is 888107862.

It is a super-2 number, since 2×26870188800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26870188800.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2066937594 + ... + 2066937606.

Almost surely, 2^26870188800 is an apocalyptic number.

26870188800 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 26870188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55875547434).

26870188800 is an abundant number, since it is smaller than the sum of its proper divisors (84880906068).

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

26870188800 is an frugal number, since it uses more digits than its factorization.

26870188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

Multiplying 26870188800 by its sum of digits (48), we get a square (1289769062400 = 1135680²).

26870188800 divided by its sum of digits (48) gives a square (559795600 = 23660²).

The spelling of 26870188800 in words is "twenty-six billion, eight hundred seventy million, one hundred eighty-eight thousand, eight hundred".