245521553233200 has 240 divisors, whose sum is σ = 797933173758336. Its totient is φ = 64521102182400.

The previous prime is 245521553233141. The next prime is 245521553233321. The reversal of 245521553233200 is 2332355125542.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×245521553233200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102800595 + ... + 105161805.

Almost surely, 2^{245521553233200} is an apocalyptic number.

245521553233200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245521553233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398966586879168).

245521553233200 is an abundant number, since it is smaller than the sum of its proper divisors (552411620525136).

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

245521553233200 is a wasteful number, since it uses less digits than its factorization.

245521553233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362492 (or 2362481 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

The spelling of 245521553233200 in words is "two hundred forty-five trillion, five hundred twenty-one billion, five hundred fifty-three million, two hundred thirty-three thousand, two hundred".