99465098040000 has 10080 divisors, whose sum is σ = 540254608185600. Its totient is φ = 17627258880000.

The previous prime is 99465098039971. The next prime is 99465098040059. The reversal of 99465098040000 is 4089056499.

99465098040000 is a `hidden beast` number, since 9 + 94 + 6 + 509 + 8 + 0 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 4324569479989 + ... + 4324569480011.

It is an arithmetic number, because the mean of its divisors is an integer number (53596687320).

Almost surely, 2^{99465098040000} is an apocalyptic number.

99465098040000 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 99465098040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270127304092800).

99465098040000 is an abundant number, since it is smaller than the sum of its proper divisors (440789510145600).

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

99465098040000 is a wasteful number, since it uses less digits than its factorization.

99465098040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 99465098040000 in words is "ninety-nine trillion, four hundred sixty-five billion, ninety-eight million, forty thousand".