1157183771220 has 288 divisors, whose sum is σ = 3715717824000. Its totient is φ = 291111045120.

The previous prime is 1157183771203. The next prime is 1157183771243. The reversal of 1157183771220 is 221773817511.

1157183771220 is a `hidden beast` number, since 1 + 1 + 57 + 1 + 8 + 377 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 44495781 + ... + 44521779.

It is an arithmetic number, because the mean of its divisors is an integer number (12901798000).

Almost surely, 2^{1157183771220} is an apocalyptic number.

1157183771220 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 1157183771220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857858912000).

1157183771220 is an abundant number, since it is smaller than the sum of its proper divisors (2558534052780).

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

1157183771220 is a wasteful number, since it uses less digits than its factorization.

1157183771220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26255 (or 26250 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 1157183771220 in words is "one trillion, one hundred fifty-seven billion, one hundred eighty-three million, seven hundred seventy-one thousand, two hundred twenty".