15055377885216 has 288 divisors, whose sum is σ = 44365419850752. Its totient is φ = 4837858928640.

The previous prime is 15055377885203. The next prime is 15055377885217. The reversal of 15055377885216 is 61258877355051.

15055377885216 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 5 + 37 + 78 + 8 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (15055377885217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3539940946 + ... + 3539945198.

It is an arithmetic number, because the mean of its divisors is an integer number (154046596704).

Almost surely, 2^{15055377885216} is an apocalyptic number.

15055377885216 is a gapful number since it is divisible by the number (16) 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 15055377885216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22182709925376).

15055377885216 is an abundant number, since it is smaller than the sum of its proper divisors (29310041965536).

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

15055377885216 is a wasteful number, since it uses less digits than its factorization.

15055377885216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5725 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 63.

The spelling of 15055377885216 in words is "fifteen trillion, fifty-five billion, three hundred seventy-seven million, eight hundred eighty-five thousand, two hundred sixteen".