10623678357600 has 2304 divisors, whose sum is σ = 49705318656000. Its totient is φ = 2170312704000.

The previous prime is 10623678357599. The next prime is 10623678357613. The reversal of 10623678357600 is 675387632601.

10623678357600 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 3 + 67 + 8 + 3 + 576 + 0 + 0 = 666.

It is a super-2 number, since 2×10623678357600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4971303732 + ... + 4971305868.

It is an arithmetic number, because the mean of its divisors is an integer number (21573489000).

Almost surely, 2^{10623678357600} is an apocalyptic number.

10623678357600 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 10623678357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24852659328000).

10623678357600 is an abundant number, since it is smaller than the sum of its proper divisors (39081640298400).

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

10623678357600 is a wasteful number, since it uses less digits than its factorization.

10623678357600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 10623678357600 in words is "ten trillion, six hundred twenty-three billion, six hundred seventy-eight million, three hundred fifty-seven thousand, six hundred".