1157016000 has 448 divisors, whose sum is σ = 4473391104. Its totient is φ = 258048000.

The previous prime is 1157015983. The next prime is 1157016017. The reversal of 1157016000 is 6107511.

It is an interprime number because it is at equal distance from previous prime (1157015983) and next prime (1157016017).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11927952 + ... + 11928048.

It is an arithmetic number, because the mean of its divisors is an integer number (9985248).

Almost surely, 2^1157016000 is an apocalyptic number.

1157016000 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 1157016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236695552).

1157016000 is an abundant number, since it is smaller than the sum of its proper divisors (3316375104).

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

1157016000 is an equidigital number, since it uses as much as digits as its factorization.

1157016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 1157016000 is about 34014.9378949896. The cubic root of 1157016000 is about 1049.8158407181.

The spelling of 1157016000 in words is "one billion, one hundred fifty-seven million, sixteen thousand".