1538160215040 has 264 divisors, whose sum is σ = 5331717158040. Its totient is φ = 410019692544.

The previous prime is 1538160215027. The next prime is 1538160215069. The reversal of 1538160215040 is 405120618351.

1538160215040 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 1 + 602 + 1 + 5 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 293989515264 + 1244170699776 = 542208^2 + 1115424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1538160214986 and 1538160215004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170353246 + ... + 170362274.

Almost surely, 2^{1538160215040} is an apocalyptic number.

1538160215040 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 1538160215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665858579020).

1538160215040 is an abundant number, since it is smaller than the sum of its proper divisors (3793556943000).

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

1538160215040 is a wasteful number, since it uses less digits than its factorization.

1538160215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12757 (or 12736 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1538160215040 in words is "one trillion, five hundred thirty-eight billion, one hundred sixty million, two hundred fifteen thousand, forty".