1092064536576 has 384 divisors, whose sum is σ = 3533032339200. Its totient is φ = 331271700480.

The previous prime is 1092064536533. The next prime is 1092064536611. The reversal of 1092064536576 is 6756354602901.

1092064536576 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 0 + 64 + 5 + 3 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51027510 + ... + 51048906.

It is an arithmetic number, because the mean of its divisors is an integer number (9200605050).

Almost surely, 2^{1092064536576} is an apocalyptic number.

1092064536576 is a gapful number since it is divisible by the number (16) 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 1092064536576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766516169600).

1092064536576 is an abundant number, since it is smaller than the sum of its proper divisors (2440967802624).

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

1092064536576 is a wasteful number, since it uses less digits than its factorization.

1092064536576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21512 (or 21486 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 1092064536576 in words is "one trillion, ninety-two billion, sixty-four million, five hundred thirty-six thousand, five hundred seventy-six".