1167049861600 has 144 divisors (see below), whose sum is σ = 3256526318976. Its totient is φ = 400075200000.

The previous prime is 1167049861559. The next prime is 1167049861619. The reversal of 1167049861600 is 61689407611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68597095 + ... + 68614105.

It is an arithmetic number, because the mean of its divisors is an integer number (22614766104).

Almost surely, 2^{1167049861600} is an apocalyptic number.

1167049861600 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 1167049861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628263159488).

1167049861600 is an abundant number, since it is smaller than the sum of its proper divisors (2089476457376).

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

1167049861600 is a wasteful number, since it uses less digits than its factorization.

1167049861600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29289 (or 29276 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 1167049861600 in words is "one trillion, one hundred sixty-seven billion, forty-nine million, eight hundred sixty-one thousand, six hundred".