1137991680000 has 1700 divisors, whose sum is σ = 4954536228400. Its totient is φ = 260112384000.

The previous prime is 1137991679983. The next prime is 1137991680011. The reversal of 1137991680000 is 861997311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 162570239997 + ... + 162570240003.

Almost surely, 2^{1137991680000} is an apocalyptic number.

1137991680000 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 1137991680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477268114200).

1137991680000 is an abundant number, since it is smaller than the sum of its proper divisors (3816544548400).

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

1137991680000 is an frugal number, since it uses more digits than its factorization.

1137991680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1137991680000 in words is "one trillion, one hundred thirty-seven billion, nine hundred ninety-one million, six hundred eighty thousand".