1157217600 has 672 divisors, whose sum is σ = 4934541312. Its totient is φ = 230400000.

The previous prime is 1157217599. The next prime is 1157217613. The reversal of 1157217600 is 67127511.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11457550 + ... + 11457650.

Almost surely, 2^1157217600 is an apocalyptic number.

1157217600 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 1157217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467270656).

1157217600 is an abundant number, since it is smaller than the sum of its proper divisors (3777323712).

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

1157217600 is a wasteful number, since it uses less digits than its factorization.

1157217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 1157217600 is about 34017.9011698253. The cubic root of 1157217600 is about 1049.8768109445.

It can be divided in two parts, 115721 and 7600, that added together give a palindrome (123321).

The spelling of 1157217600 in words is "one billion, one hundred fifty-seven million, two hundred seventeen thousand, six hundred".