98891923253760 has 960 divisors, whose sum is σ = 439854290523648. Its totient is φ = 19957920694272.

The previous prime is 98891923253741. The next prime is 98891923253789. The reversal of 98891923253760 is 6735232919889.

98891923253760 is a `hidden beast` number, since 9 + 8 + 8 + 9 + 1 + 9 + 23 + 2 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×98891923253760² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47197354 + ... + 49248086.

Almost surely, 2^{98891923253760} is an apocalyptic number.

98891923253760 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 98891923253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219927145261824).

98891923253760 is an abundant number, since it is smaller than the sum of its proper divisors (340962367269888).

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

98891923253760 is a wasteful number, since it uses less digits than its factorization.

98891923253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050805 (or 2050786 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 98891923253760 in words is "ninety-eight trillion, eight hundred ninety-one billion, nine hundred twenty-three million, two hundred fifty-three thousand, seven hundred sixty".