21175753040 has 40 divisors (see below), whose sum is σ = 53020830408. Its totient is φ = 7818739200.

The previous prime is 21175753007. The next prime is 21175753043. The reversal of 21175753040 is 4035757112.

It can be written as a sum of positive squares in 4 ways, for example, as 868363024 + 20307390016 = 29468^2 + 142504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×21175753040² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21175753043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10179611 + ... + 10181690.

Almost surely, 2^21175753040 is an apocalyptic number.

21175753040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21175753040 is an abundant number, since it is smaller than the sum of its proper divisors (31845077368).

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

21175753040 is a wasteful number, since it uses less digits than its factorization.

21175753040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20361327 (or 20361321 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 21175753040 in words is "twenty-one billion, one hundred seventy-five million, seven hundred fifty-three thousand, forty".