98553028414500 has 960 divisors, whose sum is σ = 369784572917760. Its totient is φ = 22599723168000.

The previous prime is 98553028414441. The next prime is 98553028414507. The reversal of 98553028414500 is 541482035589.

98553028414500 is a `hidden beast` number, since 9 + 8 + 5 + 53 + 0 + 2 + 84 + 1 + 4 + 500 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (98553028414507) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5781244977 + ... + 5781262023.

It is an arithmetic number, because the mean of its divisors is an integer number (385192263456).

Almost surely, 2^{98553028414500} is an apocalyptic number.

98553028414500 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 98553028414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184892286458880).

98553028414500 is an abundant number, since it is smaller than the sum of its proper divisors (271231544503260).

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

98553028414500 is a wasteful number, since it uses less digits than its factorization.

98553028414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17791 (or 17770 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 98553028414500 in words is "ninety-eight trillion, five hundred fifty-three billion, twenty-eight million, four hundred fourteen thousand, five hundred".