12765263900 has 72 divisors (see below), whose sum is σ = 28496196960. Its totient is φ = 4960512000.

The previous prime is 12765263899. The next prime is 12765263939. The reversal of 12765263900 is 936256721.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 981641 + ... + 994559.

Almost surely, 2^12765263900 is an apocalyptic number.

12765263900 is a gapful number since it is divisible by the number (10) 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 12765263900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14248098480).

12765263900 is an abundant number, since it is smaller than the sum of its proper divisors (15730933060).

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

12765263900 is a wasteful number, since it uses less digits than its factorization.

12765263900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13215 (or 13208 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 12765263900 in words is "twelve billion, seven hundred sixty-five million, two hundred sixty-three thousand, nine hundred".