10473914880 has 1080 divisors, whose sum is σ = 45612963396. Its totient is φ = 2205941760.

The previous prime is 10473914861. The next prime is 10473914881. The reversal of 10473914880 is 8841937401.

It is a happy number.

10473914880 is a `hidden beast` number, since 10 + 4 + 73 + 91 + 488 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5542504704 + 4931410176 = 74448^2 + 70224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10473914881) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 616112632 + ... + 616112648.

Almost surely, 2^10473914880 is an apocalyptic number.

10473914880 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 10473914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22806481698).

10473914880 is an abundant number, since it is smaller than the sum of its proper divisors (35139048516).

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

10473914880 is a wasteful number, since it uses less digits than its factorization.

10473914880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10473914880 in words is "ten billion, four hundred seventy-three million, nine hundred fourteen thousand, eight hundred eighty".