10482151680 has 1440 divisors, whose sum is σ = 50857728768. Its totient is φ = 1990656000.

The previous prime is 10482151663. The next prime is 10482151697. The reversal of 10482151680 is 8615128401.

10482151680 is a `hidden beast` number, since 1 + 0 + 48 + 21 + 516 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10482151663) and next prime (10482151697).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 103783630 + ... + 103783730.

Almost surely, 2^10482151680 is an apocalyptic number.

10482151680 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 10482151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25428864384).

10482151680 is an abundant number, since it is smaller than the sum of its proper divisors (40375577088).

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

10482151680 is a wasteful number, since it uses less digits than its factorization.

10482151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 10482151680 in words is "ten billion, four hundred eighty-two million, one hundred fifty-one thousand, six hundred eighty".