1157078856976 has 135 divisors (see below), whose sum is σ = 2675868396687. Its totient is φ = 483279713280.

The previous prime is 1157078856959. The next prime is 1157078856977. The reversal of 1157078856976 is 6796588707511.

The square root of 1157078856976 is 1075676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 935591907600 + 221486949376 = 967260^2 + 470624^2 .

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1157078856977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1234875580 + ... + 1234876516.

Almost surely, 2^{1157078856976} is an apocalyptic number.

1157078856976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1157078856976 is the 1075676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157078856976

1157078856976 is an abundant number, since it is smaller than the sum of its proper divisors (1518789539711).

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

1157078856976 is an frugal number, since it uses more digits than its factorization.

1157078856976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 70.

The spelling of 1157078856976 in words is "one trillion, one hundred fifty-seven billion, seventy-eight million, eight hundred fifty-six thousand, nine hundred seventy-six".