2766538753900 has 72 divisors (see below), whose sum is σ = 6071597799120. Its totient is φ = 1094045568000.

The previous prime is 2766538753873. The next prime is 2766538753907. The reversal of 2766538753900 is 93578356672.

It is not an unprimeable number, because it can be changed into a prime (2766538753907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101544280 + ... + 101571520.

It is an arithmetic number, because the mean of its divisors is an integer number (84327747210).

Almost surely, 2^{2766538753900} is an apocalyptic number.

2766538753900 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 2766538753900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035798899560).

2766538753900 is an abundant number, since it is smaller than the sum of its proper divisors (3305059045220).

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

2766538753900 is a wasteful number, since it uses less digits than its factorization.

2766538753900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38755 (or 38748 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 61.

The spelling of 2766538753900 in words is "two trillion, seven hundred sixty-six billion, five hundred thirty-eight million, seven hundred fifty-three thousand, nine hundred".