10189932480 has 672 divisors, whose sum is σ = 43935091200. Its totient is φ = 2110316544.

The previous prime is 10189932479. The next prime is 10189932559. The reversal of 10189932480 is 8423998101.

10189932480 is a `hidden beast` number, since 1 + 0 + 1 + 89 + 93 + 2 + 480 = 666.

10189932480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15462391 + ... + 15463049.

It is an arithmetic number, because the mean of its divisors is an integer number (65379600).

Almost surely, 2^10189932480 is an apocalyptic number.

10189932480 is a gapful number since it is divisible by the number (10) 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 10189932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21967545600).

10189932480 is an abundant number, since it is smaller than the sum of its proper divisors (33745158720).

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

10189932480 is a wasteful number, since it uses less digits than its factorization.

10189932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10189932480 in words is "ten billion, one hundred eighty-nine million, nine hundred thirty-two thousand, four hundred eighty".