10506475980 has 1440 divisors, whose sum is σ = 48448942080. Its totient is φ = 1847577600.

The previous prime is 10506475979. The next prime is 10506475981. The reversal of 10506475980 is 8957460501.

10506475980 is a `hidden beast` number, since 1 + 0 + 50 + 6 + 4 + 7 + 598 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10506475979) and next prime (10506475981).

It is a super-2 number, since 2×10506475980² (a number of 21 digits) contains 22 as substring.

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 (10506475981) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 338918565 + ... + 338918595.

Almost surely, 2^10506475980 is an apocalyptic number.

10506475980 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 10506475980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24224471040).

10506475980 is an abundant number, since it is smaller than the sum of its proper divisors (37942466100).

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

10506475980 is a wasteful number, since it uses less digits than its factorization.

10506475980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10506475980 in words is "ten billion, five hundred six million, four hundred seventy-five thousand, nine hundred eighty".