1076101128180 has 384 divisors, whose sum is σ = 3701175690240. Its totient is φ = 257877319680.

The previous prime is 1076101128149. The next prime is 1076101128181. The reversal of 1076101128180 is 818211016701.

1076101128180 is a `hidden beast` number, since 1 + 0 + 7 + 610 + 1 + 1 + 28 + 18 + 0 = 666.

It is a super-2 number, since 2×1076101128180² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076101128181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144769744 + ... + 144777176.

It is an arithmetic number, because the mean of its divisors is an integer number (9638478360).

Almost surely, 2^{1076101128180} is an apocalyptic number.

1076101128180 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 1076101128180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850587845120).

1076101128180 is an abundant number, since it is smaller than the sum of its proper divisors (2625074562060).

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

1076101128180 is a wasteful number, since it uses less digits than its factorization.

1076101128180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 36.

The spelling of 1076101128180 in words is "one trillion, seventy-six billion, one hundred one million, one hundred twenty-eight thousand, one hundred eighty".