2023765902900 has 576 divisors, whose sum is σ = 7502679797760. Its totient is φ = 458411788800.

The previous prime is 2023765902841. The next prime is 2023765902911. The reversal of 2023765902900 is 92095673202.

It is a happy number.

2023765902900 is a `hidden beast` number, since 2 + 0 + 2 + 37 + 6 + 590 + 29 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1328801539 + ... + 1328803061.

It is an arithmetic number, because the mean of its divisors is an integer number (13025485760).

Almost surely, 2^{2023765902900} is an apocalyptic number.

2023765902900 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 2023765902900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751339898880).

2023765902900 is an abundant number, since it is smaller than the sum of its proper divisors (5478913894860).

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

2023765902900 is a wasteful number, since it uses less digits than its factorization.

2023765902900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2023765902900 in words is "two trillion, twenty-three billion, seven hundred sixty-five million, nine hundred two thousand, nine hundred".