107296358400000 has 4104 divisors, whose sum is σ = 509869241717472. Its totient is φ = 22295347200000.

The previous prime is 107296358399981. The next prime is 107296358400053. The reversal of 107296358400000 is 4853692701.

107296358400000 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 9 + 63 + 584 + 0 + 0 + 0 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 9754214399995 + ... + 9754214400005.

It is an arithmetic number, because the mean of its divisors is an integer number (124237144668).

It is a 1-persistent number, because it is pandigital, but 2⋅107296358400000 = 214592716800000 is not.

Almost surely, 2^{107296358400000} is an apocalyptic number.

107296358400000 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 107296358400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254934620858736).

107296358400000 is an abundant number, since it is smaller than the sum of its proper divisors (402572883317472).

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

107296358400000 is an frugal number, since it uses more digits than its factorization.

107296358400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 107296358400000 in words is "one hundred seven trillion, two hundred ninety-six billion, three hundred fifty-eight million, four hundred thousand".