39102992945016 has 768 divisors, whose sum is σ = 141658227648000. Its totient is φ = 8816973742080.

The previous prime is 39102992945011. The next prime is 39102992945021. The reversal of 39102992945016 is 61054929920193.

It is an interprime number because it is at equal distance from previous prime (39102992945011) and next prime (39102992945021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39102992945011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 437696640 + ... + 437785968.

It is an arithmetic number, because the mean of its divisors is an integer number (184450817250).

Almost surely, 2^{39102992945016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39102992945016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70829113824000).

39102992945016 is an abundant number, since it is smaller than the sum of its proper divisors (102555234702984).

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

39102992945016 is a wasteful number, since it uses less digits than its factorization.

39102992945016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89532 (or 89521 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 60.

The spelling of 39102992945016 in words is "thirty-nine trillion, one hundred two billion, nine hundred ninety-two million, nine hundred forty-five thousand, sixteen".