1533348882072 has 240 divisors, whose sum is σ = 5024115718440. Its totient is φ = 438098347008.

The previous prime is 1533348882067. The next prime is 1533348882151. The reversal of 1533348882072 is 2702888433351.

1533348882072 is a `hidden beast` number, since 1 + 53 + 33 + 488 + 82 + 0 + 7 + 2 = 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 59 ways as a sum of consecutive naturals, for example, 4503288 + ... + 4831800.

Almost surely, 2^{1533348882072} is an apocalyptic number.

1533348882072 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 1533348882072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512057859220).

1533348882072 is an abundant number, since it is smaller than the sum of its proper divisors (3490766836368).

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

1533348882072 is an frugal number, since it uses more digits than its factorization.

1533348882072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328562 (or 328525 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1533348882072 in words is "one trillion, five hundred thirty-three billion, three hundred forty-eight million, eight hundred eighty-two thousand, seventy-two".