1520788200960 has 320 divisors, whose sum is σ = 5560969075200. Its totient is φ = 347317174272.

The previous prime is 1520788200949. The next prime is 1520788200979. The reversal of 1520788200960 is 690028870251.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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, 67672606 + ... + 67695074.

It is an arithmetic number, because the mean of its divisors is an integer number (17378028360).

Almost surely, 2^{1520788200960} is an apocalyptic number.

1520788200960 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 1520788200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780484537600).

1520788200960 is an abundant number, since it is smaller than the sum of its proper divisors (4040180874240).

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

1520788200960 is a wasteful number, since it uses less digits than its factorization.

1520788200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23761 (or 23745 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 1520788200960 in words is "one trillion, five hundred twenty billion, seven hundred eighty-eight million, two hundred thousand, nine hundred sixty".