10207338615936 has 512 divisors, whose sum is σ = 37924227993600. Its totient is φ = 2625509376000.

The previous prime is 10207338615923. The next prime is 10207338615961. The reversal of 10207338615936 is 63951683370201.

10207338615936 is a `hidden beast` number, since 1 + 0 + 207 + 3 + 386 + 1 + 59 + 3 + 6 = 666.

It is a super-2 number, since 2×10207338615936² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27223336 + ... + 27595736.

It is an arithmetic number, because the mean of its divisors is an integer number (74070757800).

Almost surely, 2^{10207338615936} is an apocalyptic number.

10207338615936 is a gapful number since it is divisible by the number (16) 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 10207338615936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18962113996800).

10207338615936 is an abundant number, since it is smaller than the sum of its proper divisors (27716889377664).

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

10207338615936 is a wasteful number, since it uses less digits than its factorization.

10207338615936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372545 (or 372527 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 10207338615936 in words is "ten trillion, two hundred seven billion, three hundred thirty-eight million, six hundred fifteen thousand, nine hundred thirty-six".