26195045800 has 192 divisors, whose sum is σ = 77549322240. Its totient is φ = 7990752000.

The previous prime is 26195045783. The next prime is 26195045801. The reversal of 26195045800 is 854059162.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (26195045801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705705 + ... + 741895.

It is an arithmetic number, because the mean of its divisors is an integer number (403902720).

Almost surely, 2^26195045800 is an apocalyptic number.

26195045800 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 26195045800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38774661120).

26195045800 is an abundant number, since it is smaller than the sum of its proper divisors (51354276440).

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

26195045800 is a wasteful number, since it uses less digits than its factorization.

26195045800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36272 (or 36263 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

26195045800 divided by its sum of digits (40) gives a triangular number (654876145 = T₃₆₁₉₀).

The spelling of 26195045800 in words is "twenty-six billion, one hundred ninety-five million, forty-five thousand, eight hundred".