1535106030864 has 160 divisors (see below), whose sum is σ = 4772399784960. Its totient is φ = 415374220800.

The previous prime is 1535106030863. The next prime is 1535106030893. The reversal of 1535106030864 is 4680306015351.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1535106030863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19182294 + ... + 19262154.

It is an arithmetic number, because the mean of its divisors is an integer number (29827498656).

Almost surely, 2^{1535106030864} is an apocalyptic number.

1535106030864 is a gapful number since it is divisible by the number (14) 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 1535106030864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386199892480).

1535106030864 is an abundant number, since it is smaller than the sum of its proper divisors (3237293754096).

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

1535106030864 is a wasteful number, since it uses less digits than its factorization.

1535106030864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82909 (or 82903 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 1535106030864 in words is "one trillion, five hundred thirty-five billion, one hundred six million, thirty thousand, eight hundred sixty-four".