1533478161600 has 1008 divisors, whose sum is σ = 6855928335360. Its totient is φ = 315799142400.

The previous prime is 1533478161571. The next prime is 1533478161619. The reversal of 1533478161600 is 61618743351.

1533478161600 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 478 + 16 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125288281 + ... + 125300519.

Almost surely, 2^{1533478161600} is an apocalyptic number.

1533478161600 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 1533478161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427964167680).

1533478161600 is an abundant number, since it is smaller than the sum of its proper divisors (5322450173760).

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

1533478161600 is a wasteful number, since it uses less digits than its factorization.

1533478161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12398 (or 12380 counting only the distinct ones).

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

The spelling of 1533478161600 in words is "one trillion, five hundred thirty-three billion, four hundred seventy-eight million, one hundred sixty-one thousand, six hundred".