993943157760 has 396 divisors, whose sum is σ = 4006279876248. Its totient is φ = 227186491392.

The previous prime is 993943157743. The next prime is 993943157773. The reversal of 993943157760 is 67751349399.

993943157760 is a `hidden beast` number, since 9 + 93 + 9 + 431 + 57 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2037819 + ... + 2478021.

Almost surely, 2^993943157760 is an apocalyptic number.

993943157760 is a gapful number since it is divisible by the number (90) 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 993943157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003139938124).

993943157760 is an abundant number, since it is smaller than the sum of its proper divisors (3012336718488).

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

993943157760 is a wasteful number, since it uses less digits than its factorization.

993943157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440248 (or 440220 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

The spelling of 993943157760 in words is "nine hundred ninety-three billion, nine hundred forty-three million, one hundred fifty-seven thousand, seven hundred sixty".