36279331220160 has 896 divisors, whose sum is σ = 146819224166400. Its totient is φ = 8261302026240.

The previous prime is 36279331220141. The next prime is 36279331220179. The reversal of 36279331220160 is 6102213397263.

36279331220160 is a `hidden beast` number, since 3 + 6 + 2 + 79 + 3 + 312 + 201 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (36279331220141) and next prime (36279331220179).

It is a super-3 number, since 3×36279331220160³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26656377880 + ... + 26656379240.

Almost surely, 2^{36279331220160} is an apocalyptic number.

36279331220160 is a gapful number since it is divisible by the number (30) 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 36279331220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73409612083200).

36279331220160 is an abundant number, since it is smaller than the sum of its proper divisors (110539892946240).

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

36279331220160 is a wasteful number, since it uses less digits than its factorization.

36279331220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 36279331220160 in words is "thirty-six trillion, two hundred seventy-nine billion, three hundred thirty-one million, two hundred twenty thousand, one hundred sixty".