21152164624640 has 144 divisors (see below), whose sum is σ = 61310171728512. Its totient is φ = 6825572401152.

The previous prime is 21152164624603. The next prime is 21152164624651. The reversal of 21152164624640 is 4642646125112.

It is a super-3 number, since 3×21152164624640³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21152164624591 and 21152164624600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69280994 + ... + 69585633.

It is an arithmetic number, because the mean of its divisors is an integer number (425765081448).

Almost surely, 2^{21152164624640} is an apocalyptic number.

21152164624640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21152164624640 is an abundant number, since it is smaller than the sum of its proper divisors (40158007103872).

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

21152164624640 is a wasteful number, since it uses less digits than its factorization.

21152164624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138866672 (or 138866658 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 21152164624640 in words is "twenty-one trillion, one hundred fifty-two billion, one hundred sixty-four million, six hundred twenty-four thousand, six hundred forty".