1538295464160 has 3072 divisors, whose sum is σ = 7387354275840. Its totient is φ = 289839513600.

The previous prime is 1538295464159. The next prime is 1538295464179. The reversal of 1538295464160 is 614645928351.

1538295464160 is a `hidden beast` number, since 1 + 5 + 3 + 82 + 9 + 546 + 4 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1538295464097 and 1538295464106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 15230648110 + ... + 15230648210.

It is an arithmetic number, because the mean of its divisors is an integer number (2404737720).

Almost surely, 2^{1538295464160} is an apocalyptic number.

1538295464160 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 1538295464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693677137920).

1538295464160 is an abundant number, since it is smaller than the sum of its proper divisors (5849058811680).

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

1538295464160 is a wasteful number, since it uses less digits than its factorization.

1538295464160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1538295464160 in words is "one trillion, five hundred thirty-eight billion, two hundred ninety-five million, four hundred sixty-four thousand, one hundred sixty".