10524040631064 has 160 divisors (see below), whose sum is σ = 31214668327920. Its totient is φ = 3301272059904.

The previous prime is 10524040631059. The next prime is 10524040631077. The reversal of 10524040631064 is 46013604042501.

10524040631064 is a `hidden beast` number, since 1 + 0 + 5 + 240 + 40 + 6 + 310 + 64 = 666.

It is a super-2 number, since 2×10524040631064² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102210072 + ... + 102312984.

Almost surely, 2^{10524040631064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10524040631064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607334163960).

10524040631064 is an abundant number, since it is smaller than the sum of its proper divisors (20690627696856).

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

10524040631064 is a wasteful number, since it uses less digits than its factorization.

10524040631064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112231 (or 112218 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10524040631064 its reverse (46013604042501), we get a palindrome (56537644673565).

The spelling of 10524040631064 in words is "ten trillion, five hundred twenty-four billion, forty million, six hundred thirty-one thousand, sixty-four".