98787535459200 has 2880 divisors, whose sum is σ = 448003281892320. Its totient is φ = 20925775872000.

The previous prime is 98787535459181. The next prime is 98787535459201. The reversal of 98787535459200 is 295453578789.

98787535459200 is a `hidden beast` number, since 9 + 8 + 7 + 8 + 7 + 53 + 545 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98787535459201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 164371938900 + ... + 164371939500.

Almost surely, 2^{98787535459200} is an apocalyptic number.

98787535459200 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 98787535459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224001640946160).

98787535459200 is an abundant number, since it is smaller than the sum of its proper divisors (349215746433120).

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

98787535459200 is a wasteful number, since it uses less digits than its factorization.

98787535459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 98787535459200 in words is "ninety-eight trillion, seven hundred eighty-seven billion, five hundred thirty-five million, four hundred fifty-nine thousand, two hundred".