10528406965440 has 896 divisors, whose sum is σ = 46016337776640. Its totient is φ = 2206642176000.

The previous prime is 10528406965357. The next prime is 10528406965471. The reversal of 10528406965440 is 4456960482501.

It is a happy number.

10528406965440 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 8 + 4 + 0 + 6 + 96 + 544 + 0 = 666.

It is a super-2 number, since 2×10528406965440² (a number of 27 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 127 ways as a sum of consecutive naturals, for example, 118677900 + ... + 118766580.

It is an arithmetic number, because the mean of its divisors is an integer number (51357519840).

Almost surely, 2^{10528406965440} is an apocalyptic number.

10528406965440 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 10528406965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23008168888320).

10528406965440 is an abundant number, since it is smaller than the sum of its proper divisors (35487930811200).

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

10528406965440 is a wasteful number, since it uses less digits than its factorization.

10528406965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88878 (or 88862 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 10528406965440 in words is "ten trillion, five hundred twenty-eight billion, four hundred six million, nine hundred sixty-five thousand, four hundred forty".