8072510054400 has 1512 divisors, whose sum is σ = 32369785402032. Its totient is φ = 1906900992000.

The previous prime is 8072510054393. The next prime is 8072510054419. The reversal of 8072510054400 is 44500152708.

8072510054400 is a `hidden beast` number, since 8 + 0 + 7 + 2 + 5 + 100 + 544 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 75444019147 + ... + 75444019253.

Almost surely, 2^{8072510054400} is an apocalyptic number.

8072510054400 is a gapful number since it is divisible by the number (80) 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 8072510054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16184892701016).

8072510054400 is an abundant number, since it is smaller than the sum of its proper divisors (24297275347632).

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

8072510054400 is a wasteful number, since it uses less digits than its factorization.

8072510054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 8072510054400 in words is "eight trillion, seventy-two billion, five hundred ten million, fifty-four thousand, four hundred".