10652435640 has 192 divisors, whose sum is σ = 43163228160. Its totient is φ = 2213487360.

The previous prime is 10652435627. The next prime is 10652435669. The reversal of 10652435640 is 4653425601.

10652435640 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 2 + 4 + 3 + 5 + 640 = 666.

It is a super-2 number, since 2×10652435640² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10652435595 and 10652435604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164424 + ... + 219863.

It is an arithmetic number, because the mean of its divisors is an integer number (224808480).

Almost surely, 2^10652435640 is an apocalyptic number.

10652435640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10652435640 is an abundant number, since it is smaller than the sum of its proper divisors (32510792520).

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

10652435640 is a wasteful number, since it uses less digits than its factorization.

10652435640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384322 (or 384315 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10652435640 in words is "ten billion, six hundred fifty-two million, four hundred thirty-five thousand, six hundred forty".