15535064954112 has 576 divisors, whose sum is σ = 47756689440768. Its totient is φ = 4439457792000.

The previous prime is 15535064954107. The next prime is 15535064954113. The reversal of 15535064954112 is 21145946053551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15535064954113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2966402758 + ... + 2966407994.

It is an arithmetic number, because the mean of its divisors is an integer number (82910919168).

Almost surely, 2^{15535064954112} is an apocalyptic number.

15535064954112 is a gapful number since it is divisible by the number (12) 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 15535064954112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23878344720384).

15535064954112 is an abundant number, since it is smaller than the sum of its proper divisors (32221624486656).

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

15535064954112 is a wasteful number, since it uses less digits than its factorization.

15535064954112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 51.

The spelling of 15535064954112 in words is "fifteen trillion, five hundred thirty-five billion, sixty-four million, nine hundred fifty-four thousand, one hundred twelve".