98277501960 has 384 divisors, whose sum is σ = 367764364800. Its totient is φ = 23316480000.

The previous prime is 98277501871. The next prime is 98277501961. The reversal of 98277501960 is 6910577289.

98277501960 is a `hidden beast` number, since 9 + 8 + 2 + 77 + 501 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 98277501897 and 98277501906.

It is not an unprimeable number, because it can be changed into a prime (98277501961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6133960 + ... + 6149960.

It is an arithmetic number, because the mean of its divisors is an integer number (957719700).

Almost surely, 2^98277501960 is an apocalyptic number.

98277501960 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 98277501960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183882182400).

98277501960 is an abundant number, since it is smaller than the sum of its proper divisors (269486862840).

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

98277501960 is a wasteful number, since it uses less digits than its factorization.

98277501960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16090 (or 16069 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 98277501960 in words is "ninety-eight billion, two hundred seventy-seven million, five hundred one thousand, nine hundred sixty".