99511412981760 has 1824 divisors, whose sum is σ = 393253501979520. Its totient is φ = 23093770715136.

The previous prime is 99511412981723. The next prime is 99511412981777. The reversal of 99511412981760 is 6718921411599.

99511412981760 is a `hidden beast` number, since 9 + 9 + 511 + 4 + 12 + 98 + 17 + 6 + 0 = 666.

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, 313916129122 + ... + 313916129438.

Almost surely, 2^{99511412981760} is an apocalyptic number.

99511412981760 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 99511412981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196626750989760).

99511412981760 is an abundant number, since it is smaller than the sum of its proper divisors (293742088997760).

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

99511412981760 is a wasteful number, since it uses less digits than its factorization.

99511412981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 99511412981760 in words is "ninety-nine trillion, five hundred eleven billion, four hundred twelve million, nine hundred eighty-one thousand, seven hundred sixty".