1147577261880 has 768 divisors, whose sum is σ = 4345446528000. Its totient is φ = 240992919552.

The previous prime is 1147577261879. The next prime is 1147577261977. The reversal of 1147577261880 is 881627757411.

It is a super-2 number, since 2×1147577261880² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1147577261880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 890284276 + ... + 890285564.

It is an arithmetic number, because the mean of its divisors is an integer number (5658133500).

Almost surely, 2^{1147577261880} is an apocalyptic number.

1147577261880 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 1147577261880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172723264000).

1147577261880 is an abundant number, since it is smaller than the sum of its proper divisors (3197869266120).

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

1147577261880 is a wasteful number, since it uses less digits than its factorization.

1147577261880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 57.

The spelling of 1147577261880 in words is "one trillion, one hundred forty-seven billion, five hundred seventy-seven million, two hundred sixty-one thousand, eight hundred eighty".