990719009280 has 3840 divisors, whose sum is σ = 5020694654976. Its totient is φ = 180592312320.

The previous prime is 990719009239. The next prime is 990719009309. The reversal of 990719009280 is 82900917099.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×990719009280² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23039976939 + ... + 23039976981.

Almost surely, 2^990719009280 is an apocalyptic number.

990719009280 is a gapful number since it is divisible by the number (90) 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 990719009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510347327488).

990719009280 is an abundant number, since it is smaller than the sum of its proper divisors (4029975645696).

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

990719009280 is a wasteful number, since it uses less digits than its factorization.

990719009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 990719009280 in words is "nine hundred ninety billion, seven hundred nineteen million, nine thousand, two hundred eighty".