10207382213504 has 512 divisors, whose sum is σ = 25568870400000. Its totient is φ = 3960758476800.

The previous prime is 10207382213437. The next prime is 10207382213507. The reversal of 10207382213504 is 40531228370201.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10207382213507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21309774737 + ... + 21309775215.

It is an arithmetic number, because the mean of its divisors is an integer number (49939200000).

Almost surely, 2^{10207382213504} is an apocalyptic number.

10207382213504 is a gapful number since it is divisible by the number (14) 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 10207382213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12784435200000).

10207382213504 is an abundant number, since it is smaller than the sum of its proper divisors (15361488186496).

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

10207382213504 is a wasteful number, since it uses less digits than its factorization.

10207382213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 10207382213504 in words is "ten trillion, two hundred seven billion, three hundred eighty-two million, two hundred thirteen thousand, five hundred four".