13578001920 has 960 divisors, whose sum is σ = 59337273600. Its totient is φ = 2926264320.

The previous prime is 13578001919. The next prime is 13578001951. The reversal of 13578001920 is 2910087531.

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

It is a super-2 number, since 2×13578001920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64350615 + ... + 64350825.

It is an arithmetic number, because the mean of its divisors is an integer number (61809660).

Almost surely, 2^13578001920 is an apocalyptic number.

13578001920 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 13578001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29668636800).

13578001920 is an abundant number, since it is smaller than the sum of its proper divisors (45759271680).

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

13578001920 is a wasteful number, since it uses less digits than its factorization.

13578001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 13578001920 in words is "thirteen billion, five hundred seventy-eight million, one thousand, nine hundred twenty".