10107390558720 has 1280 divisors, whose sum is σ = 40847953563648. Its totient is φ = 2075342929920.

The previous prime is 10107390558703. The next prime is 10107390558731. The reversal of 10107390558720 is 2785509370101.

It is a tau number, because it is divible by the number of its divisors (1280).

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 10107390558720.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4852322799 + ... + 4852324881.

Almost surely, 2^{10107390558720} is an apocalyptic number.

10107390558720 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 10107390558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20423976781824).

10107390558720 is an abundant number, since it is smaller than the sum of its proper divisors (30740563004928).

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

10107390558720 is a wasteful number, since it uses less digits than its factorization.

10107390558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 48.

The spelling of 10107390558720 in words is "ten trillion, one hundred seven billion, three hundred ninety million, five hundred fifty-eight thousand, seven hundred twenty".