1952993689920 has 1512 divisors, whose sum is σ = 8961146343864. Its totient is φ = 387740860416.

The previous prime is 1952993689897. The next prime is 1952993689961. The reversal of 1952993689920 is 299863992591.

1952993689920 is a `hidden beast` number, since 1 + 9 + 529 + 9 + 3 + 6 + 8 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1284432355584 + 668561334336 = 1133328^2 + 817656^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 405435352 + ... + 405440168.

Almost surely, 2^{1952993689920} is an apocalyptic number.

1952993689920 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 1952993689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480573171932).

1952993689920 is an abundant number, since it is smaller than the sum of its proper divisors (7008152653944).

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

1952993689920 is a wasteful number, since it uses less digits than its factorization.

1952993689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4897 (or 4864 counting only the distinct ones).

The product of its (nonzero) digits is 170061120, while the sum is 72.

The spelling of 1952993689920 in words is "one trillion, nine hundred fifty-two billion, nine hundred ninety-three million, six hundred eighty-nine thousand, nine hundred twenty".