153973800960 has 960 divisors, whose sum is σ = 602451440640. Its totient is φ = 32841400320.

The previous prime is 153973800943. The next prime is 153973800961. The reversal of 153973800960 is 69008379351.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153973800961) 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, 2609725411 + ... + 2609725469.

It is an arithmetic number, because the mean of its divisors is an integer number (627553584).

Almost surely, 2^153973800960 is an apocalyptic number.

153973800960 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 153973800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301225720320).

153973800960 is an abundant number, since it is smaller than the sum of its proper divisors (448477639680).

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

153973800960 is an equidigital number, since it uses as much as digits as its factorization.

153973800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 153973800960 in words is "one hundred fifty-three billion, nine hundred seventy-three million, eight hundred thousand, nine hundred sixty".