26506760500 has 48 divisors (see below), whose sum is σ = 63153574848. Its totient is φ = 9638820000.

The previous prime is 26506760479. The next prime is 26506760509. The reversal of 26506760500 is 506760562.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26506760500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26506760509) 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 15 ways as a sum of consecutive naturals, for example, 2404206 + ... + 2415205.

It is an arithmetic number, because the mean of its divisors is an integer number (1315699476).

Almost surely, 2^26506760500 is an apocalyptic number.

26506760500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26506760500 is an abundant number, since it is smaller than the sum of its proper divisors (36646814348).

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

26506760500 is a wasteful number, since it uses less digits than its factorization.

26506760500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819441 (or 4819429 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 26506760500 in words is "twenty-six billion, five hundred six million, seven hundred sixty thousand, five hundred".