15778990080 has 768 divisors, whose sum is σ = 66421555200. Its totient is φ = 3477012480.

The previous prime is 15778990057. The next prime is 15778990163. The reversal of 15778990080 is 8009987751.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 15778989999 and 15778990026.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59996029 + ... + 59996291.

It is an arithmetic number, because the mean of its divisors is an integer number (86486400).

Almost surely, 2^15778990080 is an apocalyptic number.

15778990080 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 15778990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33210777600).

15778990080 is an abundant number, since it is smaller than the sum of its proper divisors (50642565120).

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

15778990080 is a wasteful number, since it uses less digits than its factorization.

15778990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 15778990080 in words is "fifteen billion, seven hundred seventy-eight million, nine hundred ninety thousand, eighty".