152821401600 has 576 divisors, whose sum is σ = 584231356800. Its totient is φ = 34516500480.

The previous prime is 152821401589. The next prime is 152821401637. The reversal of 152821401600 is 6104128251.

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

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, 95692002 + ... + 95693598.

It is an arithmetic number, because the mean of its divisors is an integer number (1014290550).

Almost surely, 2^152821401600 is an apocalyptic number.

152821401600 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 152821401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292115678400).

152821401600 is an abundant number, since it is smaller than the sum of its proper divisors (431409955200).

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

152821401600 is a wasteful number, since it uses less digits than its factorization.

152821401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 152821401600 its reverse (6104128251), we get a palindrome (158925529851).

The spelling of 152821401600 in words is "one hundred fifty-two billion, eight hundred twenty-one million, four hundred one thousand, six hundred".