32534150100480 has 1920 divisors, whose sum is σ = 136310315581440. Its totient is φ = 7283889930240.

The previous prime is 32534150100461. The next prime is 32534150100493. The reversal of 32534150100480 is 8400105143523.

32534150100480 is a `hidden beast` number, since 3 + 2 + 534 + 15 + 0 + 100 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49219591350 + ... + 49219592010.

It is an arithmetic number, because the mean of its divisors is an integer number (70994956032).

Almost surely, 2^{32534150100480} is an apocalyptic number.

32534150100480 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 32534150100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68155157790720).

32534150100480 is an abundant number, since it is smaller than the sum of its proper divisors (103776165480960).

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

32534150100480 is an equidigital number, since it uses as much as digits as its factorization.

32534150100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 32534150100480 in words is "thirty-two trillion, five hundred thirty-four billion, one hundred fifty million, one hundred thousand, four hundred eighty".