10207900087320 has 512 divisors, whose sum is σ = 34731099648000. Its totient is φ = 2383705079808.

The previous prime is 10207900087247. The next prime is 10207900087331. The reversal of 10207900087320 is 2378000970201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 322518856 + ... + 322550504.

It is an arithmetic number, because the mean of its divisors is an integer number (67834179000).

Almost surely, 2^{10207900087320} is an apocalyptic number.

10207900087320 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 10207900087320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365549824000).

10207900087320 is an abundant number, since it is smaller than the sum of its proper divisors (24523199560680).

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

10207900087320 is a wasteful number, since it uses less digits than its factorization.

10207900087320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31859 (or 31855 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 10207900087320 in words is "ten trillion, two hundred seven billion, nine hundred million, eighty-seven thousand, three hundred twenty".