26316100800 has 672 divisors, whose sum is σ = 106128921600. Its totient is φ = 6289920000.

The previous prime is 26316100781. The next prime is 26316100801. The reversal of 26316100800 is 800161362.

It is a super-2 number, since 2×26316100800² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (26316100801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37540450 + ... + 37541150.

Almost surely, 2^26316100800 is an apocalyptic number.

26316100800 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 26316100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53064460800).

26316100800 is an abundant number, since it is smaller than the sum of its proper divisors (79812820800).

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

26316100800 is a wasteful number, since it uses less digits than its factorization.

26316100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

It can be divided in two parts, 26316100 and 800, that added together give a square (26316900 = 5130²).

The spelling of 26316100800 in words is "twenty-six billion, three hundred sixteen million, one hundred thousand, eight hundred".