1157787972 has 96 divisors (see below), whose sum is σ = 3304963200. Its totient is φ = 347587200.

The previous prime is 1157787949. The next prime is 1157787997. The reversal of 1157787972 is 2797877511.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125022 + ... + 133962.

It is an arithmetic number, because the mean of its divisors is an integer number (34426700).

Almost surely, 2^1157787972 is an apocalyptic number.

1157787972 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 1157787972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652481600).

1157787972 is an abundant number, since it is smaller than the sum of its proper divisors (2147175228).

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

1157787972 is a wasteful number, since it uses less digits than its factorization.

1157787972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9074 (or 9066 counting only the distinct ones).

The product of its digits is 1728720, while the sum is 54.

The square root of 1157787972 is about 34026.2835466937. The cubic root of 1157787972 is about 1050.0492711573.

The spelling of 1157787972 in words is "one billion, one hundred fifty-seven million, seven hundred eighty-seven thousand, nine hundred seventy-two".