1521663616000 has 352 divisors, whose sum is σ = 4188205232640. Its totient is φ = 547069952000.

The previous prime is 1521663615943. The next prime is 1521663616013. The reversal of 1521663616000 is 6163661251.

It is a tau number, because it is divible by the number of its divisors (352).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125305929 + ... + 125318071.

It is an arithmetic number, because the mean of its divisors is an integer number (11898310320).

Almost surely, 2^{1521663616000} is an apocalyptic number.

1521663616000 is a gapful number since it is divisible by the number (10) 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 1521663616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094102616320).

1521663616000 is an abundant number, since it is smaller than the sum of its proper divisors (2666541616640).

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

1521663616000 is a wasteful number, since it uses less digits than its factorization.

1521663616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12278 (or 12250 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 1521663616000 in words is "one trillion, five hundred twenty-one billion, six hundred sixty-three million, six hundred sixteen thousand".