36130401552 has 320 divisors, whose sum is σ = 113701294080. Its totient is φ = 9664512000.

The previous prime is 36130401551. The next prime is 36130401581. The reversal of 36130401552 is 25510403163.

It is not an unprimeable number, because it can be changed into a prime (36130401551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90100552 + ... + 90100952.

It is an arithmetic number, because the mean of its divisors is an integer number (355316544).

Almost surely, 2^36130401552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36130401552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56850647040).

36130401552 is an abundant number, since it is smaller than the sum of its proper divisors (77570892528).

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

36130401552 is a wasteful number, since it uses less digits than its factorization.

36130401552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 36130401552 in words is "thirty-six billion, one hundred thirty million, four hundred one thousand, five hundred fifty-two".