1506128383872 has 256 divisors, whose sum is σ = 5088810355200. Its totient is φ = 429592633344.

The previous prime is 1506128383831. The next prime is 1506128383883. The reversal of 1506128383872 is 2783838216051.

1506128383872 is a `hidden beast` number, since 1 + 506 + 1 + 2 + 8 + 38 + 38 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14293363 + ... + 14398349.

It is an arithmetic number, because the mean of its divisors is an integer number (19878165450).

Almost surely, 2^{1506128383872} is an apocalyptic number.

1506128383872 is a gapful number since it is divisible by the number (12) 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 1506128383872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544405177600).

1506128383872 is an abundant number, since it is smaller than the sum of its proper divisors (3582681971328).

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

1506128383872 is a wasteful number, since it uses less digits than its factorization.

1506128383872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105610 (or 105592 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1506128383872 in words is "one trillion, five hundred six billion, one hundred twenty-eight million, three hundred eighty-three thousand, eight hundred seventy-two".