1577157012 has 72 divisors (see below), whose sum is σ = 4200653184. Its totient is φ = 497952576.

The previous prime is 1577156983. The next prime is 1577157037. The reversal of 1577157012 is 2107517751.

1577157012 is a `hidden beast` number, since 1 + 5 + 7 + 71 + 570 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76038 + ... + 94530.

Almost surely, 2^1577157012 is an apocalyptic number.

1577157012 is a gapful number since it is divisible by the number (12) 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 1577157012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100326592).

1577157012 is an abundant number, since it is smaller than the sum of its proper divisors (2623496172).

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

1577157012 is a wasteful number, since it uses less digits than its factorization.

1577157012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18629 (or 18624 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 36.

The square root of 1577157012 is about 39713.4361646030. The cubic root of 1577157012 is about 1164.0142857920.

The spelling of 1577157012 in words is "one billion, five hundred seventy-seven million, one hundred fifty-seven thousand, twelve".