153672827440 has 160 divisors (see below), whose sum is σ = 407334500352. Its totient is φ = 53370240000.

The previous prime is 153672827423. The next prime is 153672827453. The reversal of 153672827440 is 44728276351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14182825 + ... + 14193655.

Almost surely, 2^153672827440 is an apocalyptic number.

153672827440 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 153672827440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203667250176).

153672827440 is an abundant number, since it is smaller than the sum of its proper divisors (253661672912).

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

153672827440 is a wasteful number, since it uses less digits than its factorization.

153672827440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11579 (or 11573 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 153672827440 in words is "one hundred fifty-three billion, six hundred seventy-two million, eight hundred twenty-seven thousand, four hundred forty".