98551877760 has 384 divisors, whose sum is σ = 411808924800. Its totient is φ = 21200928768.

The previous prime is 98551877729. The next prime is 98551877789. The reversal of 98551877760 is 6777815589.

98551877760 is a `hidden beast` number, since 9 + 8 + 551 + 8 + 7 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×98551877760² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613551 + ... + 757329.

It is an arithmetic number, because the mean of its divisors is an integer number (1072419075).

Almost surely, 2^98551877760 is an apocalyptic number.

98551877760 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 98551877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205904462400).

98551877760 is an abundant number, since it is smaller than the sum of its proper divisors (313257047040).

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

98551877760 is a wasteful number, since it uses less digits than its factorization.

98551877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143828 (or 143813 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 98551877760 in words is "ninety-eight billion, five hundred fifty-one million, eight hundred seventy-seven thousand, seven hundred sixty".