98211965724 has 288 divisors, whose sum is σ = 273276057600. Its totient is φ = 30801917952.

The previous prime is 98211965707. The next prime is 98211965767. The reversal of 98211965724 is 42756911289.

It is a happy number.

It is a super-2 number, since 2×98211965724² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 163959577 + ... + 163960175.

It is an arithmetic number, because the mean of its divisors is an integer number (948875200).

Almost surely, 2^98211965724 is an apocalyptic number.

98211965724 is a gapful number since it is divisible by the number (94) 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 98211965724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136638028800).

98211965724 is an abundant number, since it is smaller than the sum of its proper divisors (175064091876).

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

98211965724 is a wasteful number, since it uses less digits than its factorization.

98211965724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 98211965724 in words is "ninety-eight billion, two hundred eleven million, nine hundred sixty-five thousand, seven hundred twenty-four".