26019812400 has 240 divisors, whose sum is σ = 88584580224. Its totient is φ = 6505943040.

The previous prime is 26019812321. The next prime is 26019812449. The reversal of 26019812400 is 421891062.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5770947 + ... + 5775453.

Almost surely, 2^26019812400 is an apocalyptic number.

26019812400 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 26019812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44292290112).

26019812400 is an abundant number, since it is smaller than the sum of its proper divisors (62564767824).

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

26019812400 is a wasteful number, since it uses less digits than its factorization.

26019812400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 26019812400 in words is "twenty-six billion, nineteen million, eight hundred twelve thousand, four hundred".