98501188561920 has 1232 divisors, whose sum is σ = 358255433682432. Its totient is φ = 25973442478080.

The previous prime is 98501188561901. The next prime is 98501188561927. The reversal of 98501188561920 is 2916588110589.

98501188561920 is a `hidden beast` number, since 9 + 8 + 5 + 0 + 1 + 1 + 8 + 8 + 5 + 619 + 2 + 0 = 666.

It is a super-2 number, since 2×98501188561920² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98501188561927) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 166106557144 + ... + 166106557736.

Almost surely, 2^{98501188561920} is an apocalyptic number.

98501188561920 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 98501188561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179127716841216).

98501188561920 is an abundant number, since it is smaller than the sum of its proper divisors (259754245120512).

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

98501188561920 is a wasteful number, since it uses less digits than its factorization.

98501188561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 63.

The spelling of 98501188561920 in words is "ninety-eight trillion, five hundred one billion, one hundred eighty-eight million, five hundred sixty-one thousand, nine hundred twenty".