26250998400 has 1152 divisors, whose sum is σ = 110351270400. Its totient is φ = 6158592000.

The previous prime is 26250998359. The next prime is 26250998419. The reversal of 26250998400 is 489905262.

26250998400 is a `hidden beast` number, since 2 + 62 + 509 + 9 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×26250998400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 846806385 + ... + 846806415.

Almost surely, 2^26250998400 is an apocalyptic number.

26250998400 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 26250998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55175635200).

26250998400 is an abundant number, since it is smaller than the sum of its proper divisors (84100272000).

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

26250998400 is an equidigital number, since it uses as much as digits as its factorization.

26250998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 26250998400 in words is "twenty-six billion, two hundred fifty million, nine hundred ninety-eight thousand, four hundred".