36093689856 has 576 divisors, whose sum is σ = 128848527360. Its totient is φ = 9767485440.

The previous prime is 36093689851. The next prime is 36093689869. The reversal of 36093689856 is 65898639063.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×36093689856² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 36093689793 and 36093689802.

It is not an unprimeable number, because it can be changed into a prime (36093689851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767950825 + ... + 767950871.

It is an arithmetic number, because the mean of its divisors is an integer number (223695360).

Almost surely, 2^36093689856 is an apocalyptic number.

36093689856 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 36093689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64424263680).

36093689856 is an abundant number, since it is smaller than the sum of its proper divisors (92754837504).

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

36093689856 is an frugal number, since it uses more digits than its factorization.

36093689856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 36093689856 in words is "thirty-six billion, ninety-three million, six hundred eighty-nine thousand, eight hundred fifty-six".