106758479520000 has 10800 divisors, whose sum is σ = 570764750814720. Its totient is φ = 19508428800000.

The previous prime is 106758479519959. The next prime is 106758479520001. The reversal of 106758479520000 is 25974857601.

106758479520000 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 584 + 7 + 9 + 52 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10800).

It is a super-2 number, since 2×106758479520000² (a number of 29 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 not an unprimeable number, because it can be changed into a prime (106758479520001) by changing a digit.

It is a polite number, since it can be written in 1199 ways as a sum of consecutive naturals, for example, 3443821919985 + ... + 3443821920015.

Almost surely, 2^{106758479520000} is an apocalyptic number.

106758479520000 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 106758479520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285382375407360).

106758479520000 is an abundant number, since it is smaller than the sum of its proper divisors (464006271294720).

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

106758479520000 is a wasteful number, since it uses less digits than its factorization.

106758479520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 106758479520000 in words is "one hundred six trillion, seven hundred fifty-eight billion, four hundred seventy-nine million, five hundred twenty thousand".