10007287370080 has 192 divisors, whose sum is σ = 31743395970048. Its totient is φ = 2879219496960.

The previous prime is 10007287370077. The next prime is 10007287370081. The reversal of 10007287370080 is 8007378270001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007287370081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31081372 + ... + 31401691.

It is an arithmetic number, because the mean of its divisors is an integer number (165330187344).

Almost surely, 2^{10007287370080} is an apocalyptic number.

10007287370080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10007287370080 is an abundant number, since it is smaller than the sum of its proper divisors (21736108599968).

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

10007287370080 is a wasteful number, since it uses less digits than its factorization.

10007287370080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62483109 (or 62483101 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 43.

The spelling of 10007287370080 in words is "ten trillion, seven billion, two hundred eighty-seven million, three hundred seventy thousand, eighty".