252414550723920 has 80 divisors (see below), whose sum is σ = 842676269350272. Its totient is φ = 62132812485120.

The previous prime is 252414550723913. The next prime is 252414550723943. The reversal of 252414550723920 is 29327055414252.

It is a happy number.

252414550723920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 40451046676 + ... + 40451052915.

Almost surely, 2^{252414550723920} is an apocalyptic number.

252414550723920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252414550723920 is an abundant number, since it is smaller than the sum of its proper divisors (590261718626352).

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

252414550723920 is a wasteful number, since it uses less digits than its factorization.

252414550723920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80902099620 (or 80902099614 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 252414550723920 in words is "two hundred fifty-two trillion, four hundred fourteen billion, five hundred fifty million, seven hundred twenty-three thousand, nine hundred twenty".