1542573352320 has 2048 divisors, whose sum is σ = 7220348190720. Its totient is φ = 269313638400.

The previous prime is 1542573352291. The next prime is 1542573352343. The reversal of 1542573352320 is 232533752451.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1012851079 + ... + 1012852601.

It is an arithmetic number, because the mean of its divisors is an integer number (3525560640).

Almost surely, 2^{1542573352320} is an apocalyptic number.

1542573352320 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 1542573352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610174095360).

1542573352320 is an abundant number, since it is smaller than the sum of its proper divisors (5677774838400).

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

1542573352320 is a wasteful number, since it uses less digits than its factorization.

1542573352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

The spelling of 1542573352320 in words is "one trillion, five hundred forty-two billion, five hundred seventy-three million, three hundred fifty-two thousand, three hundred twenty".