1159464579900 has 288 divisors, whose sum is σ = 3779989065216. Its totient is φ = 274222784000.

The previous prime is 1159464579877. The next prime is 1159464579967. The reversal of 1159464579900 is 99754649511.

It is a super-2 number, since 2×1159464579900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 16335889 + ... + 16406711.

It is an arithmetic number, because the mean of its divisors is an integer number (13124962032).

Almost surely, 2^{1159464579900} is an apocalyptic number.

1159464579900 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 1159464579900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889994532608).

1159464579900 is an abundant number, since it is smaller than the sum of its proper divisors (2620524485316).

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

1159464579900 is a wasteful number, since it uses less digits than its factorization.

1159464579900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70914 (or 70885 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 60.

The spelling of 1159464579900 in words is "one trillion, one hundred fifty-nine billion, four hundred sixty-four million, five hundred seventy-nine thousand, nine hundred".