10478234730600 has 960 divisors, whose sum is σ = 44899772480640. Its totient is φ = 2205410457600.

The previous prime is 10478234730539. The next prime is 10478234730629. The reversal of 10478234730600 is 603743287401.

10478234730600 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 8 + 2 + 3 + 4 + 7 + 30 + 600 = 666.

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

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, 620629759 + ... + 620646641.

It is an arithmetic number, because the mean of its divisors is an integer number (46770596334).

Almost surely, 2^{10478234730600} is an apocalyptic number.

10478234730600 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 10478234730600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22449886240320).

10478234730600 is an abundant number, since it is smaller than the sum of its proper divisors (34421537750040).

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

10478234730600 is a wasteful number, since it uses less digits than its factorization.

10478234730600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17352 (or 17334 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 10478234730600 in words is "ten trillion, four hundred seventy-eight billion, two hundred thirty-four million, seven hundred thirty thousand, six hundred".