36102096576 has 560 divisors, whose sum is σ = 133172143104. Its totient is φ = 9416300544.

The previous prime is 36102096559. The next prime is 36102096619. The reversal of 36102096576 is 67569020163.

36102096576 is a `hidden beast` number, since 3 + 610 + 20 + 9 + 6 + 5 + 7 + 6 = 666.

It is a super-2 number, since 2×36102096576² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48589261 + ... + 48590003.

Almost surely, 2^36102096576 is an apocalyptic number.

36102096576 is a gapful number since it is divisible by the number (36) 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 36102096576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66586071552).

36102096576 is an abundant number, since it is smaller than the sum of its proper divisors (97070046528).

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

36102096576 is a wasteful number, since it uses less digits than its factorization.

36102096576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 36102096576 in words is "thirty-six billion, one hundred two million, ninety-six thousand, five hundred seventy-six".