21577245754000 has 40 divisors (see below), whose sum is σ = 52173780238008. Its totient is φ = 8630898300800.

The previous prime is 21577245753983. The next prime is 21577245754027. The reversal of 21577245754000 is 45754277512.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2482023797136 + 19095221956864 = 1575444^2 + 4369808^2 .

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

It is a super-2 number, since 2×21577245754000² (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 5394309439 + ... + 5394313438.

Almost surely, 2^{21577245754000} is an apocalyptic number.

21577245754000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21577245754000 is an abundant number, since it is smaller than the sum of its proper divisors (30596534484008).

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

21577245754000 is a wasteful number, since it uses less digits than its factorization.

21577245754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10788622900 (or 10788622884 counting only the distinct ones).

The product of its (nonzero) digits is 2744000, while the sum is 49.

The spelling of 21577245754000 in words is "twenty-one trillion, five hundred seventy-seven billion, two hundred forty-five million, seven hundred fifty-four thousand".