10472531980680 has 2880 divisors, whose sum is σ = 48253983085440. Its totient is φ = 1995075878400.

The previous prime is 10472531980667. The next prime is 10472531980681. The reversal of 10472531980680 is 8608913527401.

10472531980680 is a `hidden beast` number, since 1 + 0 + 47 + 2 + 531 + 9 + 8 + 0 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10472531980681) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 337823612265 + ... + 337823612295.

It is an arithmetic number, because the mean of its divisors is an integer number (16754855238).

It is a 1-persistent number, because it is pandigital, but 2⋅10472531980680 = 20945063961360 is not.

Almost surely, 2^{10472531980680} is an apocalyptic number.

10472531980680 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 10472531980680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24126991542720).

10472531980680 is an abundant number, since it is smaller than the sum of its proper divisors (37781451104760).

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

10472531980680 is a wasteful number, since it uses less digits than its factorization.

10472531980680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10472531980680 in words is "ten trillion, four hundred seventy-two billion, five hundred thirty-one million, nine hundred eighty thousand, six hundred eighty".