107797540800 has 336 divisors, whose sum is σ = 375115848192. Its totient is φ = 27043737600.

The previous prime is 107797540771. The next prime is 107797540819. The reversal of 107797540800 is 8045797701.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107797540800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6726397 + ... + 6742403.

Almost surely, 2^107797540800 is an apocalyptic number.

107797540800 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 107797540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187557924096).

107797540800 is an abundant number, since it is smaller than the sum of its proper divisors (267318307392).

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

107797540800 is a wasteful number, since it uses less digits than its factorization.

107797540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16116 (or 16101 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

The spelling of 107797540800 in words is "one hundred seven billion, seven hundred ninety-seven million, five hundred forty thousand, eight hundred".