98003859351552 has 1536 divisors, whose sum is σ = 393296117760000. Its totient is φ = 23337256550400.

The previous prime is 98003859351551. The next prime is 98003859351557. The reversal of 98003859351552 is 25515395830089.

98003859351552 is a `hidden beast` number, since 9 + 8 + 0 + 0 + 38 + 593 + 5 + 1 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a self number, because there is not a number n which added to its sum of digits gives 98003859351552.

It is not an unprimeable number, because it can be changed into a prime (98003859351551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2507819949 + ... + 2507859027.

It is an arithmetic number, because the mean of its divisors is an integer number (256052160000).

Almost surely, 2^{98003859351552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98003859351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196648058880000).

98003859351552 is an abundant number, since it is smaller than the sum of its proper divisors (295292258408448).

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

98003859351552 is a wasteful number, since it uses less digits than its factorization.

98003859351552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39178 (or 39152 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 63.

The spelling of 98003859351552 in words is "ninety-eight trillion, three billion, eight hundred fifty-nine million, three hundred fifty-one thousand, five hundred fifty-two".