153321200005600 has 576 divisors, whose sum is σ = 431289903179520. Its totient is φ = 52637644800000.

The previous prime is 153321200005573. The next prime is 153321200005613. The reversal of 153321200005600 is 6500002123351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105665884875 + ... + 105665886325.

It is an arithmetic number, because the mean of its divisors is an integer number (748767193020).

Almost surely, 2^{153321200005600} is an apocalyptic number.

153321200005600 is a gapful number since it is divisible by the number (10) 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 153321200005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215644951589760).

153321200005600 is an abundant number, since it is smaller than the sum of its proper divisors (277968703173920).

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

153321200005600 is a wasteful number, since it uses less digits than its factorization.

153321200005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 153321200005600 its reverse (6500002123351), we get a palindrome (159821202128951).

The spelling of 153321200005600 in words is "one hundred fifty-three trillion, three hundred twenty-one billion, two hundred million, five thousand, six hundred".