10576742400 has 576 divisors, whose sum is σ = 44440905600. Its totient is φ = 2415329280.

The previous prime is 10576742353. The next prime is 10576742401. The reversal of 10576742400 is 424767501.

10576742400 is a `hidden beast` number, since 1 + 0 + 576 + 7 + 42 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10576742400² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10576742401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9676254 + ... + 9677346.

It is an arithmetic number, because the mean of its divisors is an integer number (77154350).

Almost surely, 2^10576742400 is an apocalyptic number.

10576742400 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 10576742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22220452800).

10576742400 is an abundant number, since it is smaller than the sum of its proper divisors (33864163200).

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

10576742400 is a wasteful number, since it uses less digits than its factorization.

10576742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 10576742400 in words is "ten billion, five hundred seventy-six million, seven hundred forty-two thousand, four hundred".