10947156480 has 800 divisors, whose sum is σ = 43920188928. Its totient is φ = 2587852800.

The previous prime is 10947156461. The next prime is 10947156491. The reversal of 10947156480 is 8465174901.

10947156480 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 7 + 1 + 564 + 80 = 666.

It is a super-3 number, since 3×10947156480³ (a number of 31 digits) contains 333 as substring.

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 79 ways as a sum of consecutive naturals, for example, 83566015 + ... + 83566145.

Almost surely, 2^10947156480 is an apocalyptic number.

10947156480 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 10947156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21960094464).

10947156480 is an abundant number, since it is smaller than the sum of its proper divisors (32973032448).

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

10947156480 is a wasteful number, since it uses less digits than its factorization.

10947156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10947156480 in words is "ten billion, nine hundred forty-seven million, one hundred fifty-six thousand, four hundred eighty".