10642644521540 has 192 divisors, whose sum is σ = 23350299571200. Its totient is φ = 4072258105344.

The previous prime is 10642644521521. The next prime is 10642644521563. The reversal of 10642644521540 is 4512544624601.

It is a super-2 number, since 2×10642644521540² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10642644521491 and 10642644521500.

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 63 ways as a sum of consecutive naturals, for example, 3067926926 + ... + 3067930394.

It is an arithmetic number, because the mean of its divisors is an integer number (121616143600).

Almost surely, 2^{10642644521540} is an apocalyptic number.

10642644521540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10642644521540 is an abundant number, since it is smaller than the sum of its proper divisors (12707655049660).

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

10642644521540 is a wasteful number, since it uses less digits than its factorization.

10642644521540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 10642644521540 in words is "ten trillion, six hundred forty-two billion, six hundred forty-four million, five hundred twenty-one thousand, five hundred forty".