30515007489820 has 288 divisors, whose sum is σ = 80361275904000. Its totient is φ = 9521680025088.

The previous prime is 30515007489787. The next prime is 30515007489833. The reversal of 30515007489820 is 2898470051503.

It is a happy number.

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, 291614029 + ... + 291718651.

It is an arithmetic number, because the mean of its divisors is an integer number (279032208000).

Almost surely, 2^{30515007489820} 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 30515007489820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40180637952000).

30515007489820 is an abundant number, since it is smaller than the sum of its proper divisors (49846268414180).

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

30515007489820 is a wasteful number, since it uses less digits than its factorization.

30515007489820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104905 (or 104884 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 30515007489820 in words is "thirty trillion, five hundred fifteen billion, seven million, four hundred eighty-nine thousand, eight hundred twenty".