10547988480 has 432 divisors, whose sum is σ = 38203352460. Its totient is φ = 2794881024.

The previous prime is 10547988413. The next prime is 10547988509. The reversal of 10547988480 is 8488974501.

10547988480 is a `hidden beast` number, since 1 + 0 + 547 + 98 + 8 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10218783744 + 329204736 = 101088^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10547988480² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67184562 + ... + 67184718.

Almost surely, 2^10547988480 is an apocalyptic number.

10547988480 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 10547988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19101676230).

10547988480 is an abundant number, since it is smaller than the sum of its proper divisors (27655363980).

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

10547988480 is an frugal number, since it uses more digits than its factorization.

10547988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 10547988480 in words is "ten billion, five hundred forty-seven million, nine hundred eighty-eight thousand, four hundred eighty".