36133097280 has 224 divisors, whose sum is σ = 131694667776. Its totient is φ = 8222263296.

The previous prime is 36133097261. The next prime is 36133097293. The reversal of 36133097280 is 8279033163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 1513597 + ... + 1537283.

It is an arithmetic number, because the mean of its divisors is an integer number (587922624).

Almost surely, 2^36133097280 is an apocalyptic number.

36133097280 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 36133097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65847333888).

36133097280 is an abundant number, since it is smaller than the sum of its proper divisors (95561570496).

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

36133097280 is a wasteful number, since it uses less digits than its factorization.

36133097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23941 (or 23931 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 36133097280 in words is "thirty-six billion, one hundred thirty-three million, ninety-seven thousand, two hundred eighty".