1993367126160 has 640 divisors, whose sum is σ = 7479292723200. Its totient is φ = 486489231360.

The previous prime is 1993367126099. The next prime is 1993367126167. The reversal of 1993367126160 is 616217633991.

1993367126160 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 3 + 6 + 7 + 12 + 616 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1993367126097 and 1993367126106.

It is not an unprimeable number, because it can be changed into a prime (1993367126167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137059849 + ... + 137074391.

It is an arithmetic number, because the mean of its divisors is an integer number (11686394880).

Almost surely, 2^{1993367126160} is an apocalyptic number.

1993367126160 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 1993367126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739646361600).

1993367126160 is an abundant number, since it is smaller than the sum of its proper divisors (5485925597040).

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

1993367126160 is a wasteful number, since it uses less digits than its factorization.

1993367126160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14708 (or 14696 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 1993367126160 in words is "one trillion, nine hundred ninety-three billion, three hundred sixty-seven million, one hundred twenty-six thousand, one hundred sixty".