10374216652800 has 6912 divisors, whose sum is σ = 55893172608000. Its totient is φ = 1872809164800.

The previous prime is 10374216652777. The next prime is 10374216652841. The reversal of 10374216652800 is 825661247301.

10374216652800 is a `hidden beast` number, since 1 + 0 + 374 + 216 + 65 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 610248038392 + ... + 610248038408.

It is an arithmetic number, because the mean of its divisors is an integer number (8086396500).

Almost surely, 2^{10374216652800} is an apocalyptic number.

10374216652800 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 10374216652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27946586304000).

10374216652800 is an abundant number, since it is smaller than the sum of its proper divisors (45518955955200).

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

10374216652800 is a wasteful number, since it uses less digits than its factorization.

10374216652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10374216652800 in words is "ten trillion, three hundred seventy-four billion, two hundred sixteen million, six hundred fifty-two thousand, eight hundred".