1167025888728 has 384 divisors, whose sum is σ = 3810133080000. Its totient is φ = 329991653376.

The previous prime is 1167025888711. The next prime is 1167025888729. The reversal of 1167025888728 is 8278885207611.

It is a super-2 number, since 2×1167025888728² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167025888729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 564052078 + ... + 564054146.

Almost surely, 2^{1167025888728} is an apocalyptic number.

1167025888728 is a gapful number since it is divisible by the number (18) 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 1167025888728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905066540000).

1167025888728 is an abundant number, since it is smaller than the sum of its proper divisors (2643107191272).

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

1167025888728 is a wasteful number, since it uses less digits than its factorization.

1167025888728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 63.

The spelling of 1167025888728 in words is "one trillion, one hundred sixty-seven billion, twenty-five million, eight hundred eighty-eight thousand, seven hundred twenty-eight".