999735770880 has 864 divisors, whose sum is σ = 4371855022080. Its totient is φ = 204878315520.

The previous prime is 999735770851. The next prime is 999735770911. The reversal of 999735770880 is 88077537999.

It is a super-2 number, since 2×999735770880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 999735770799 and 999735770808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64746201 + ... + 64761639.

Almost surely, 2^999735770880 is an apocalyptic number.

999735770880 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 999735770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185927511040).

999735770880 is an abundant number, since it is smaller than the sum of its proper divisors (3372119251200).

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

999735770880 is a wasteful number, since it uses less digits than its factorization.

999735770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15557 (or 15540 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 999735770880 in words is "nine hundred ninety-nine billion, seven hundred thirty-five million, seven hundred seventy thousand, eight hundred eighty".