98151108572160 has 1056 divisors, whose sum is σ = 391760278490880. Its totient is φ = 22256999202816.

The previous prime is 98151108572131. The next prime is 98151108572161. The reversal of 98151108572160 is 6127580115189.

98151108572160 is a `hidden beast` number, since 9 + 8 + 1 + 5 + 1 + 1 + 0 + 8 + 572 + 1 + 60 = 666.

It is a super-2 number, since 2×98151108572160² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98151108572097 and 98151108572106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98151108572161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37277290204 + ... + 37277292836.

Almost surely, 2^{98151108572160} is an apocalyptic number.

98151108572160 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 98151108572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195880139245440).

98151108572160 is an abundant number, since it is smaller than the sum of its proper divisors (293609169918720).

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

98151108572160 is a wasteful number, since it uses less digits than its factorization.

98151108572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 54.

The spelling of 98151108572160 in words is "ninety-eight trillion, one hundred fifty-one billion, one hundred eight million, five hundred seventy-two thousand, one hundred sixty".