10073572809048 has 480 divisors, whose sum is σ = 33073330726800. Its totient is φ = 2872347899904.

The previous prime is 10073572809043. The next prime is 10073572809071. The reversal of 10073572809048 is 84090827537001.

It is a happy number.

10073572809048 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 357 + 280 + 9 + 0 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 10073572808985 and 10073572809003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10073572809043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2655830640 + ... + 2655834432.

Almost surely, 2^{10073572809048} is an apocalyptic number.

10073572809048 is a gapful number since it is divisible by the number (18) 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 10073572809048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536665363400).

10073572809048 is an abundant number, since it is smaller than the sum of its proper divisors (22999757917752).

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

10073572809048 is an frugal number, since it uses more digits than its factorization.

10073572809048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 10073572809048 in words is "ten trillion, seventy-three billion, five hundred seventy-two million, eight hundred nine thousand, forty-eight".