1157284195200 has 1152 divisors, whose sum is σ = 4995201120000. Its totient is φ = 264461137920.

The previous prime is 1157284195183. The next prime is 1157284195217. The reversal of 1157284195200 is 25914827511.

1157284195200 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 28 + 419 + 5 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1157284195183) and next prime (1157284195217).

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 266714631 + ... + 266718969.

Almost surely, 2^{1157284195200} is an apocalyptic number.

1157284195200 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 1157284195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497600560000).

1157284195200 is an abundant number, since it is smaller than the sum of its proper divisors (3837916924800).

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

1157284195200 is an frugal number, since it uses more digits than its factorization.

1157284195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1157284195200 in words is "one trillion, one hundred fifty-seven billion, two hundred eighty-four million, one hundred ninety-five thousand, two hundred".