1165536032640 has 256 divisors, whose sum is σ = 4430485969920. Its totient is φ = 254825201664.

The previous prime is 1165536032627. The next prime is 1165536032657. The reversal of 1165536032640 is 462306355611.

It is a super-2 number, since 2×1165536032640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1165536032592 and 1165536032601.

It is a congruent number.

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, 1576129 + ... + 2194368.

It is an arithmetic number, because the mean of its divisors is an integer number (17306585820).

Almost surely, 2^{1165536032640} is an apocalyptic number.

1165536032640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1165536032640 is an abundant number, since it is smaller than the sum of its proper divisors (3264949937280).

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

1165536032640 is a wasteful number, since it uses less digits than its factorization.

1165536032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770549 (or 3770537 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

It can be divided in two parts, 11655 and 36032640, that added together give a triangular number (36044295 = T₈₄₉₀).

The spelling of 1165536032640 in words is "one trillion, one hundred sixty-five billion, five hundred thirty-six million, thirty-two thousand, six hundred forty".