10098413276160 has 704 divisors, whose sum is σ = 35710251821568. Its totient is φ = 2435457024000.

The previous prime is 10098413276129. The next prime is 10098413276201. The reversal of 10098413276160 is 6167231489001.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×10098413276160² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4313716590 + ... + 4313718930.

Almost surely, 2^{10098413276160} is an apocalyptic number.

10098413276160 is a gapful number since it is divisible by the number (10) 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 10098413276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17855125910784).

10098413276160 is an abundant number, since it is smaller than the sum of its proper divisors (25611838545408).

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

10098413276160 is a wasteful number, since it uses less digits than its factorization.

10098413276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 10098413276160 in words is "ten trillion, ninety-eight billion, four hundred thirteen million, two hundred seventy-six thousand, one hundred sixty".