10181618979840 has 4224 divisors, whose sum is σ = 50059812741120. Its totient is φ = 1847800627200.

The previous prime is 10181618979797. The next prime is 10181618979877. The reversal of 10181618979840 is 4897981618101.

10181618979840 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 1 + 618 + 9 + 7 + 9 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56880552871 + ... + 56880553049.

Almost surely, 2^{10181618979840} is an apocalyptic number.

10181618979840 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 10181618979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25029906370560).

10181618979840 is an abundant number, since it is smaller than the sum of its proper divisors (39878193761280).

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

10181618979840 is a wasteful number, since it uses less digits than its factorization.

10181618979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 63.

The spelling of 10181618979840 in words is "ten trillion, one hundred eighty-one billion, six hundred eighteen million, nine hundred seventy-nine thousand, eight hundred forty".