153827255823360 has 704 divisors, whose sum is σ = 581949567774720. Its totient is φ = 33932527534080.

The previous prime is 153827255823313. The next prime is 153827255823361. The reversal of 153827255823360 is 63328552728351.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 153827255823294 and 153827255823303.

It is not an unprimeable number, because it can be changed into a prime (153827255823361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7629931680 + ... + 7629951840.

Almost surely, 2^{153827255823360} is an apocalyptic number.

153827255823360 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 153827255823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290974783887360).

153827255823360 is an abundant number, since it is smaller than the sum of its proper divisors (428122311951360).

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

153827255823360 is a wasteful number, since it uses less digits than its factorization.

153827255823360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22672 (or 22654 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 60.

The spelling of 153827255823360 in words is "one hundred fifty-three trillion, eight hundred twenty-seven billion, two hundred fifty-five million, eight hundred twenty-three thousand, three hundred sixty".