1542699416960 has 128 divisors (see below), whose sum is σ = 3972327004800. Its totient is φ = 569523511296.

The previous prime is 1542699416941. The next prime is 1542699416989. The reversal of 1542699416960 is 696149962451.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1542699416893 and 1542699416902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80519702 + ... + 80538858.

It is an arithmetic number, because the mean of its divisors is an integer number (31033804725).

Almost surely, 2^{1542699416960} is an apocalyptic number.

1542699416960 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 1542699416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986163502400).

1542699416960 is an abundant number, since it is smaller than the sum of its proper divisors (2429627587840).

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

1542699416960 is a wasteful number, since it uses less digits than its factorization.

1542699416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28868 (or 28856 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 62.

The spelling of 1542699416960 in words is "one trillion, five hundred forty-two billion, six hundred ninety-nine million, four hundred sixteen thousand, nine hundred sixty".