1535111088016 has 135 divisors (see below), whose sum is σ = 3389358010129. Its totient is φ = 673022627200.

The previous prime is 1535111087977. The next prime is 1535111088053. The reversal of 1535111088016 is 6108801115351.

The square root of 1535111088016 is 1238996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 804975017616 + 730136070400 = 897204^2 + 854480^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1535111088016.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1580958411 + ... + 1580959381.

Almost surely, 2^{1535111088016} is an apocalyptic number.

1535111088016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1535111088016 is the 1238996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1535111088016

1535111088016 is an abundant number, since it is smaller than the sum of its proper divisors (1854246922113).

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

1535111088016 is an frugal number, since it uses more digits than its factorization.

1535111088016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 40.

The spelling of 1535111088016 in words is "one trillion, five hundred thirty-five billion, one hundred eleven million, eighty-eight thousand, sixteen".