10007482596384 has 768 divisors, whose sum is σ = 35081194659840. Its totient is φ = 2424619008000.

The previous prime is 10007482596373. The next prime is 10007482596401. The reversal of 10007482596384 is 48369528470001.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 718869744 + ... + 718883664.

It is an arithmetic number, because the mean of its divisors is an integer number (45678638880).

It is a 1-persistent number, because it is pandigital, but 2⋅10007482596384 = 20014965192768 is not.

Almost surely, 2^{10007482596384} is an apocalyptic number.

10007482596384 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 10007482596384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17540597329920).

10007482596384 is an abundant number, since it is smaller than the sum of its proper divisors (25073712063456).

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

10007482596384 is a wasteful number, since it uses less digits than its factorization.

10007482596384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14105 (or 14097 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 10007482596384 in words is "ten trillion, seven billion, four hundred eighty-two million, five hundred ninety-six thousand, three hundred eighty-four".