15820767805440 has 960 divisors, whose sum is σ = 60768325578240. Its totient is φ = 3472128737280.

The previous prime is 15820767805433. The next prime is 15820767805489. The reversal of 15820767805440 is 4450876702851.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1031938575 + ... + 1031953905.

It is an arithmetic number, because the mean of its divisors is an integer number (63300339144).

Almost surely, 2^{15820767805440} is an apocalyptic number.

15820767805440 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 15820767805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30384162789120).

15820767805440 is an abundant number, since it is smaller than the sum of its proper divisors (44947557772800).

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

15820767805440 is a wasteful number, since it uses less digits than its factorization.

15820767805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15416 (or 15390 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 57.

The spelling of 15820767805440 in words is "fifteen trillion, eight hundred twenty billion, seven hundred sixty-seven million, eight hundred five thousand, four hundred forty".