10072031457600 has 1008 divisors, whose sum is σ = 43562974291200. Its totient is φ = 2202059059200.

The previous prime is 10072031457571. The next prime is 10072031457667. The reversal of 10072031457600 is 675413027001.

It is a happy number.

10072031457600 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 2 + 0 + 3 + 1 + 45 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113557270 + ... + 113645930.

It is an arithmetic number, because the mean of its divisors is an integer number (43217236400).

Almost surely, 2^{10072031457600} is an apocalyptic number.

10072031457600 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 10072031457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21781487145600).

10072031457600 is an abundant number, since it is smaller than the sum of its proper divisors (33490942833600).

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

10072031457600 is a wasteful number, since it uses less digits than its factorization.

10072031457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88733 (or 88701 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10072031457600 in words is "ten trillion, seventy-two billion, thirty-one million, four hundred fifty-seven thousand, six hundred".