2123765950320 has 800 divisors, whose sum is σ = 9090148193280. Its totient is φ = 448659025920.

The previous prime is 2123765950309. The next prime is 2123765950349. The reversal of 2123765950320 is 230595673212.

2123765950320 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 76 + 59 + 503 + 20 = 666.

It is a super-2 number, since 2×2123765950320² (a number of 25 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 35305389 + ... + 35365491.

Almost surely, 2^{2123765950320} is an apocalyptic number.

2123765950320 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 2123765950320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545074096640).

2123765950320 is an abundant number, since it is smaller than the sum of its proper divisors (6966382242960).

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

2123765950320 is a wasteful number, since it uses less digits than its factorization.

2123765950320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60195 (or 60180 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 2123765950320 in words is "two trillion, one hundred twenty-three billion, seven hundred sixty-five million, nine hundred fifty thousand, three hundred twenty".