1157093683200 has 2808 divisors, whose sum is σ = 5458013612688. Its totient is φ = 240789749760.

The previous prime is 1157093683177. The next prime is 1157093683217. The reversal of 1157093683200 is 23863907511.

1157093683200 is a `hidden beast` number, since 1 + 15 + 70 + 9 + 368 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2808).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15850598364 + ... + 15850598436.

Almost surely, 2^{1157093683200} is an apocalyptic number.

1157093683200 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 1157093683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729006806344).

1157093683200 is an abundant number, since it is smaller than the sum of its proper divisors (4300919929488).

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

1157093683200 is an equidigital number, since it uses as much as digits as its factorization.

1157093683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1157093683200 in words is "one trillion, one hundred fifty-seven billion, ninety-three million, six hundred eighty-three thousand, two hundred".