98094545740800 has 3168 divisors, whose sum is σ = 434035645655040. Its totient is φ = 20682650419200.

The previous prime is 98094545740799. The next prime is 98094545740811. The reversal of 98094545740800 is 804754549089.

98094545740800 is a `hidden beast` number, since 9 + 8 + 0 + 9 + 4 + 54 + 574 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 141960268455 + ... + 141960269145.

It is an arithmetic number, because the mean of its divisors is an integer number (137006201280).

Almost surely, 2^{98094545740800} is an apocalyptic number.

98094545740800 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 98094545740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217017822827520).

98094545740800 is an abundant number, since it is smaller than the sum of its proper divisors (335941099914240).

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

98094545740800 is a wasteful number, since it uses less digits than its factorization.

98094545740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 98094545740800 in words is "ninety-eight trillion, ninety-four billion, five hundred forty-five million, seven hundred forty thousand, eight hundred".