153252210025200 has 720 divisors, whose sum is σ = 610433472792960. Its totient is φ = 32489233920000.

The previous prime is 153252210025177. The next prime is 153252210025247. The reversal of 153252210025200 is 2520012252351.

It is a super-2 number, since 2×153252210025200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40577350 + ... + 44193050.

It is an arithmetic number, because the mean of its divisors is an integer number (847824267768).

Almost surely, 2^{153252210025200} is an apocalyptic number.

153252210025200 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 153252210025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305216736396480).

153252210025200 is an abundant number, since it is smaller than the sum of its proper divisors (457181262767760).

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

153252210025200 is a wasteful number, since it uses less digits than its factorization.

153252210025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615778 (or 3615754 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 153252210025200 its reverse (2520012252351), we get a palindrome (155772222277551).

The spelling of 153252210025200 in words is "one hundred fifty-three trillion, two hundred fifty-two billion, two hundred ten million, twenty-five thousand, two hundred".