1507163632128 has 960 divisors, whose sum is σ = 5747878540800. Its totient is φ = 385500487680.

The previous prime is 1507163632127. The next prime is 1507163632153. The reversal of 1507163632128 is 8212363617051.

It is a happy number.

1507163632128 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 1 + 6 + 3 + 632 + 1 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1507163632127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 499224603 + ... + 499227621.

It is an arithmetic number, because the mean of its divisors is an integer number (5987373480).

Almost surely, 2^{1507163632128} is an apocalyptic number.

1507163632128 is a gapful number since it is divisible by the number (18) 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 1507163632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873939270400).

1507163632128 is an abundant number, since it is smaller than the sum of its proper divisors (4240714908672).

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

1507163632128 is a wasteful number, since it uses less digits than its factorization.

1507163632128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1507163632128 in words is "one trillion, five hundred seven billion, one hundred sixty-three million, six hundred thirty-two thousand, one hundred twenty-eight".