15006920918016 has 176 divisors, whose sum is σ = 40430184595136. Its totient is φ = 4948420460544.

The previous prime is 15006920917987. The next prime is 15006920918107. The reversal of 15006920918016 is 61081902960051.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708297375 + ... + 708318561.

Almost surely, 2^{15006920918016} is an apocalyptic number.

15006920918016 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 15006920918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20215092297568).

15006920918016 is an abundant number, since it is smaller than the sum of its proper divisors (25423263677120).

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

15006920918016 is a wasteful number, since it uses less digits than its factorization.

15006920918016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23684 (or 23666 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 15006920918016 in words is "fifteen trillion, six billion, nine hundred twenty million, nine hundred eighteen thousand, sixteen".