1539216928704 has 224 divisors, whose sum is σ = 5128889920000. Its totient is φ = 396506492928.

The previous prime is 1539216928651. The next prime is 1539216928727. The reversal of 1539216928704 is 4078296129351.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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, 273079 + ... + 1775670.

It is an arithmetic number, because the mean of its divisors is an integer number (22896830000).

It is a 1-persistent number, because it is pandigital, but 2⋅1539216928704 = 3078433857408 is not.

Almost surely, 2^{1539216928704} is an apocalyptic number.

1539216928704 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 1539216928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564444960000).

1539216928704 is an abundant number, since it is smaller than the sum of its proper divisors (3589672991296).

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

1539216928704 is a wasteful number, since it uses less digits than its factorization.

1539216928704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048827 (or 2048817 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 1539216928704 in words is "one trillion, five hundred thirty-nine billion, two hundred sixteen million, nine hundred twenty-eight thousand, seven hundred four".