1993502787120 has 800 divisors, whose sum is σ = 7744109345280. Its totient is φ = 474773944320.

The previous prime is 1993502787071. The next prime is 1993502787149. The reversal of 1993502787120 is 217872053991.

It is a happy number.

1993502787120 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 502 + 7 + 8 + 7 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 441331102 + ... + 441335618.

Almost surely, 2^{1993502787120} is an apocalyptic number.

1993502787120 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 1993502787120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872054672640).

1993502787120 is an abundant number, since it is smaller than the sum of its proper divisors (5750606558160).

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

1993502787120 is a wasteful number, since it uses less digits than its factorization.

1993502787120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 1993502787120 in words is "one trillion, nine hundred ninety-three billion, five hundred two million, seven hundred eighty-seven thousand, one hundred twenty".