10528462135540 has 24 divisors (see below), whose sum is σ = 22110183881352. Its totient is φ = 4211306112000.

The previous prime is 10528462135483. The next prime is 10528462135573. The reversal of 10528462135540 is 4553126482501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1213782551524 + 9314679584016 = 1101718^2 + 3051996^2 .

It is a super-2 number, since 2×10528462135540² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3818961 + ... + 5970040.

It is an arithmetic number, because the mean of its divisors is an integer number (921257661723).

Almost surely, 2^{10528462135540} is an apocalyptic number.

10528462135540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10528462135540 is an abundant number, since it is smaller than the sum of its proper divisors (11581721745812).

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

10528462135540 is a wasteful number, since it uses less digits than its factorization.

10528462135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9842787 (or 9842785 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 10528462135540 in words is "ten trillion, five hundred twenty-eight billion, four hundred sixty-two million, one hundred thirty-five thousand, five hundred forty".