99460842624000 has 4224 divisors, whose sum is σ = 441284533148160. Its totient is φ = 21898985472000.

The previous prime is 99460842623971. The next prime is 99460842624029. The reversal of 99460842624000 is 42624806499.

99460842624000 is a `hidden beast` number, since 9 + 9 + 4 + 6 + 0 + 8 + 4 + 2 + 624 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99460842623971) and next prime (99460842624029).

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is a congruent number.

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, 725991551932 + ... + 725991552068.

Almost surely, 2^{99460842624000} is an apocalyptic number.

99460842624000 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 99460842624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220642266574080).

99460842624000 is an abundant number, since it is smaller than the sum of its proper divisors (341823690524160).

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

99460842624000 is a wasteful number, since it uses less digits than its factorization.

99460842624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 99460842624000 in words is "ninety-nine trillion, four hundred sixty billion, eight hundred forty-two million, six hundred twenty-four thousand".