10149120022860 has 1344 divisors, whose sum is σ = 40496495719680. Its totient is φ = 2078692761600.

The previous prime is 10149120022837. The next prime is 10149120022891. The reversal of 10149120022860 is 6822002194101.

10149120022860 is a `hidden beast` number, since 101 + 491 + 2 + 0 + 0 + 2 + 2 + 8 + 60 = 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 447 ways as a sum of consecutive naturals, for example, 7102252626 + ... + 7102254054.

It is an arithmetic number, because the mean of its divisors is an integer number (30131321220).

Almost surely, 2^{10149120022860} is an apocalyptic number.

10149120022860 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 10149120022860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248247859840).

10149120022860 is an abundant number, since it is smaller than the sum of its proper divisors (30347375696820).

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

10149120022860 is a wasteful number, since it uses less digits than its factorization.

10149120022860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10149120022860 in words is "ten trillion, one hundred forty-nine billion, one hundred twenty million, twenty-two thousand, eight hundred sixty".