10057672576 has 192 divisors, whose sum is σ = 24576475680. Its totient is φ = 4079910912.

The previous prime is 10057672543. The next prime is 10057672577. The reversal of 10057672576 is 67527675001.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057672577) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16300620 + ... + 16301236.

Almost surely, 2^10057672576 is an apocalyptic number.

10057672576 is a gapful number since it is divisible by the number (16) 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 10057672576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288237840).

10057672576 is an abundant number, since it is smaller than the sum of its proper divisors (14518803104).

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

10057672576 is a wasteful number, since it uses less digits than its factorization.

10057672576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 46.

The spelling of 10057672576 in words is "ten billion, fifty-seven million, six hundred seventy-two thousand, five hundred seventy-six".