26790488400 has 180 divisors, whose sum is σ = 92928823008. Its totient is φ = 6594531840.

The previous prime is 26790488399. The next prime is 26790488401. The reversal of 26790488400 is 488409762.

It is an interprime number because it is at equal distance from previous prime (26790488399) and next prime (26790488401).

It is a super-3 number, since 3×26790488400³ (a number of 32 digits) contains 333 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 26790488400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26790488401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136749 + ... + 268851.

Almost surely, 2^26790488400 is an apocalyptic number.

26790488400 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 26790488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46464411504).

26790488400 is an abundant number, since it is smaller than the sum of its proper divisors (66138334608).

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

26790488400 is a wasteful number, since it uses less digits than its factorization.

26790488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132150 (or 132126 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 26790488400 in words is "twenty-six billion, seven hundred ninety million, four hundred eighty-eight thousand, four hundred".