98125641000 has 256 divisors, whose sum is σ = 343546444800. Its totient is φ = 25907040000.

The previous prime is 98125640983. The next prime is 98125641013. The reversal of 98125641000 is 14652189.

98125641000 is a `hidden beast` number, since 9 + 8 + 1 + 2 + 5 + 641 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2709009 + ... + 2744991.

It is an arithmetic number, because the mean of its divisors is an integer number (1341978300).

Almost surely, 2^98125641000 is an apocalyptic number.

98125641000 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 98125641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171773222400).

98125641000 is an abundant number, since it is smaller than the sum of its proper divisors (245420803800).

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

98125641000 is a wasteful number, since it uses less digits than its factorization.

98125641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36114 (or 36094 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 98125641000 in words is "ninety-eight billion, one hundred twenty-five million, six hundred forty-one thousand".