153669442940800 has 96 divisors (see below), whose sum is σ = 379625049093600. Its totient is φ = 61465590681600.

The previous prime is 153669442940773. The next prime is 153669442940807. The reversal of 153669442940800 is 8049244966351.

It is a super-2 number, since 2×153669442940800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153669442940807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90651396 + ... + 92331004.

It is an arithmetic number, because the mean of its divisors is an integer number (3954427594725).

Almost surely, 2^{153669442940800} is an apocalyptic number.

153669442940800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153669442940800 is an abundant number, since it is smaller than the sum of its proper divisors (225955606152800).

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

153669442940800 is a wasteful number, since it uses less digits than its factorization.

153669442940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708224 (or 1708207 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 61.

The spelling of 153669442940800 in words is "one hundred fifty-three trillion, six hundred sixty-nine billion, four hundred forty-two million, nine hundred forty thousand, eight hundred".