10952628480 has 216 divisors, whose sum is σ = 38820894840. Its totient is φ = 2849341440.

The previous prime is 10952628469. The next prime is 10952628487. The reversal of 10952628480 is 8482625901.

10952628480 is a `hidden beast` number, since 10 + 9 + 5 + 2 + 628 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43243776 + 10909384704 = 6576^2 + 104448^2 .

It is a super-2 number, since 2×10952628480² (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 (10952628487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460726 + ... + 483914.

It is an arithmetic number, because the mean of its divisors is an integer number (179726365).

Almost surely, 2^10952628480 is an apocalyptic number.

10952628480 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 10952628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19410447420).

10952628480 is an abundant number, since it is smaller than the sum of its proper divisors (27868266360).

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

10952628480 is a wasteful number, since it uses less digits than its factorization.

10952628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23257 (or 23240 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10952628480 in words is "ten billion, nine hundred fifty-two million, six hundred twenty-eight thousand, four hundred eighty".