1067920128000 has 1152 divisors, whose sum is σ = 4346991230400. Its totient is φ = 249790464000.

The previous prime is 1067920127993. The next prime is 1067920128017. The reversal of 1067920128000 is 8210297601.

1067920128000 is a `hidden beast` number, since 106 + 79 + 201 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1067920128000² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 734975274 + ... + 734976726.

Almost surely, 2^{1067920128000} is an apocalyptic number.

1067920128000 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 1067920128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173495615200).

1067920128000 is an abundant number, since it is smaller than the sum of its proper divisors (3279071102400).

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

1067920128000 is a wasteful number, since it uses less digits than its factorization.

1067920128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1067920128000 in words is "one trillion, sixty-seven billion, nine hundred twenty million, one hundred twenty-eight thousand".