10618536828000 has 192 divisors, whose sum is σ = 35130749734080. Its totient is φ = 2803573760000.

The previous prime is 10618536827981. The next prime is 10618536828001. The reversal of 10618536828000 is 82863581601.

It is a super-2 number, since 2×10618536828000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10618536828001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3168585 + ... + 5592584.

It is an arithmetic number, because the mean of its divisors is an integer number (182972654865).

Almost surely, 2^{10618536828000} is an apocalyptic number.

10618536828000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10618536828000 is an abundant number, since it is smaller than the sum of its proper divisors (24512212906080).

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

10618536828000 is a wasteful number, since it uses less digits than its factorization.

10618536828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8761298 (or 8761280 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 10618536828000 in words is "ten trillion, six hundred eighteen billion, five hundred thirty-six million, eight hundred twenty-eight thousand".