98052175203840 has 1920 divisors, whose sum is σ = 405270952998912. Its totient is φ = 21596193423360.

The previous prime is 98052175203833. The next prime is 98052175203869. The reversal of 98052175203840 is 4830257125089.

98052175203840 is a `hidden beast` number, since 9 + 8 + 0 + 521 + 75 + 2 + 0 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×98052175203840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100360465432 + ... + 100360466408.

Almost surely, 2^{98052175203840} is an apocalyptic number.

98052175203840 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 98052175203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202635476499456).

98052175203840 is an abundant number, since it is smaller than the sum of its proper divisors (307218777795072).

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

98052175203840 is a wasteful number, since it uses less digits than its factorization.

98052175203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 98052175203840 in words is "ninety-eight trillion, fifty-two billion, one hundred seventy-five million, two hundred three thousand, eight hundred forty".