1002516480000 has 1920 divisors, whose sum is σ = 4434480824400. Its totient is φ = 222953472000.

The previous prime is 1002516479953. The next prime is 1002516480001. The reversal of 1002516480000 is 846152001.

1002516480000 is a `hidden beast` number, since 10 + 0 + 2 + 5 + 1 + 648 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002516480001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27095039982 + ... + 27095040018.

Almost surely, 2^{1002516480000} is an apocalyptic number.

1002516480000 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 1002516480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217240412200).

1002516480000 is an abundant number, since it is smaller than the sum of its proper divisors (3431964344400).

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

1002516480000 is an frugal number, since it uses more digits than its factorization.

1002516480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 1002516480000 in words is "one trillion, two billion, five hundred sixteen million, four hundred eighty thousand".