1542936798720 has 1280 divisors, whose sum is σ = 6223024558080. Its totient is φ = 360165408768.

The previous prime is 1542936798679. The next prime is 1542936798731. The reversal of 1542936798720 is 278976392451.

1542936798720 is a `hidden beast` number, since 1 + 542 + 9 + 3 + 6 + 7 + 9 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 999958269 + ... + 999959811.

It is an arithmetic number, because the mean of its divisors is an integer number (4861737936).

It is a 1-persistent number, because it is pandigital, but 2⋅1542936798720 = 3085873597440 is not.

Almost surely, 2^{1542936798720} is an apocalyptic number.

1542936798720 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 1542936798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111512279040).

1542936798720 is an abundant number, since it is smaller than the sum of its proper divisors (4680087759360).

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

1542936798720 is a wasteful number, since it uses less digits than its factorization.

1542936798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1542936798720 in words is "one trillion, five hundred forty-two billion, nine hundred thirty-six million, seven hundred ninety-eight thousand, seven hundred twenty".