36123252480 has 864 divisors, whose sum is σ = 151707838464. Its totient is φ = 8058175488.

The previous prime is 36123252461. The next prime is 36123252491. The reversal of 36123252480 is 8425232163.

36123252480 is a `hidden beast` number, since 3 + 6 + 123 + 2 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 102331984 + ... + 102332336.

It is an arithmetic number, because the mean of its divisors is an integer number (175587776).

Almost surely, 2^36123252480 is an apocalyptic number.

36123252480 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 36123252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75853919232).

36123252480 is an abundant number, since it is smaller than the sum of its proper divisors (115584585984).

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

36123252480 is an equidigital number, since it uses as much as digits as its factorization.

36123252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 36123252480 in words is "thirty-six billion, one hundred twenty-three million, two hundred fifty-two thousand, four hundred eighty".