1952750232000 has 1344 divisors, whose sum is σ = 7824097981440. Its totient is φ = 462578688000.

The previous prime is 1952750231953. The next prime is 1952750232049. The reversal of 1952750232000 is 2320572591.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1667591415 + ... + 1667592585.

Almost surely, 2^{1952750232000} is an apocalyptic number.

1952750232000 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 1952750232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912048990720).

1952750232000 is an abundant number, since it is smaller than the sum of its proper divisors (5871347749440).

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

1952750232000 is a wasteful number, since it uses less digits than its factorization.

1952750232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 1952750232000 in words is "one trillion, nine hundred fifty-two billion, seven hundred fifty million, two hundred thirty-two thousand".