1059740136000 has 672 divisors, whose sum is σ = 4665711418368. Its totient is φ = 223592140800.

The previous prime is 1059740135959. The next prime is 1059740136017. The reversal of 1059740136000 is 6310479501.

1059740136000 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 7 + 40 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1059740136000² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6471129 + ... + 6632871.

It is an arithmetic number, because the mean of its divisors is an integer number (6943022944).

Almost surely, 2^{1059740136000} is an apocalyptic number.

1059740136000 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 1059740136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332855709184).

1059740136000 is an abundant number, since it is smaller than the sum of its proper divisors (3605971282368).

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

1059740136000 is a wasteful number, since it uses less digits than its factorization.

1059740136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161796 (or 161773 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1059740136000 in words is "one trillion, fifty-nine billion, seven hundred forty million, one hundred thirty-six thousand".