10246546500480 has 1920 divisors, whose sum is σ = 41868052934400. Its totient is φ = 2377161768960.

The previous prime is 10246546500473. The next prime is 10246546500563. The reversal of 10246546500480 is 8400564564201.

It is a happy number.

10246546500480 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 65 + 4 + 6 + 500 + 4 + 80 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14452110366 + ... + 14452111074.

It is an arithmetic number, because the mean of its divisors is an integer number (21806277570).

Almost surely, 2^{10246546500480} is an apocalyptic number.

10246546500480 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 10246546500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20934026467200).

10246546500480 is an abundant number, since it is smaller than the sum of its proper divisors (31621506433920).

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

10246546500480 is a wasteful number, since it uses less digits than its factorization.

10246546500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 10246546500480 in words is "ten trillion, two hundred forty-six billion, five hundred forty-six million, five hundred thousand, four hundred eighty".