36481259520 has 480 divisors, whose sum is σ = 132023651760. Its totient is φ = 9674588160.

The previous prime is 36481259447. The next prime is 36481259527. The reversal of 36481259520 is 2595218463.

36481259520 is a `hidden beast` number, since 3 + 6 + 48 + 12 + 595 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36481259527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 201553830 + ... + 201554010.

Almost surely, 2^36481259520 is an apocalyptic number.

36481259520 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 36481259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66011825880).

36481259520 is an abundant number, since it is smaller than the sum of its proper divisors (95542392240).

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

36481259520 is an frugal number, since it uses more digits than its factorization.

36481259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 36481259520 in words is "thirty-six billion, four hundred eighty-one million, two hundred fifty-nine thousand, five hundred twenty".