153838755840 has 896 divisors, whose sum is σ = 625080913920. Its totient is φ = 31378636800.

The previous prime is 153838755839. The next prime is 153838755853. The reversal of 153838755840 is 48557838351.

It is a tau number, because it is divible by the number of its divisors (896).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 671784846 + ... + 671785074.

Almost surely, 2^153838755840 is an apocalyptic number.

153838755840 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 153838755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312540456960).

153838755840 is an abundant number, since it is smaller than the sum of its proper divisors (471242158080).

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

153838755840 is a wasteful number, since it uses less digits than its factorization.

153838755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 57.

The spelling of 153838755840 in words is "one hundred fifty-three billion, eight hundred thirty-eight million, seven hundred fifty-five thousand, eight hundred forty".