2107427077120 has 352 divisors, whose sum is σ = 5240636646336. Its totient is φ = 812777472000.

The previous prime is 2107427077087. The next prime is 2107427077187. The reversal of 2107427077120 is 217707247012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5255428920 + ... + 5255429320.

Almost surely, 2^{2107427077120} is an apocalyptic number.

2107427077120 is a gapful number since it is divisible by the number (20) 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 2107427077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620318323168).

2107427077120 is an abundant number, since it is smaller than the sum of its proper divisors (3133209569216).

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

2107427077120 is a wasteful number, since it uses less digits than its factorization.

2107427077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 76832, while the sum is 40.

The spelling of 2107427077120 in words is "two trillion, one hundred seven billion, four hundred twenty-seven million, seventy-seven thousand, one hundred twenty".