10427755600 has 60 divisors (see below), whose sum is σ = 25108911900. Its totient is φ = 4161740800.

The previous prime is 10427755567. The next prime is 10427755633. The reversal of 10427755600 is 655772401.

It is an interprime number because it is at equal distance from previous prime (10427755567) and next prime (10427755633).

It can be written as a sum of positive squares in 6 ways, for example, as 582353424 + 9845402176 = 24132^2 + 99224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10427755600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150570 + ... + 208630.

It is an arithmetic number, because the mean of its divisors is an integer number (418481865).

Almost surely, 2^10427755600 is an apocalyptic number.

10427755600 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 10427755600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554455950).

10427755600 is an abundant number, since it is smaller than the sum of its proper divisors (14681156300).

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

10427755600 is a wasteful number, since it uses less digits than its factorization.

10427755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58528 (or 58517 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 10427755600 in words is "ten billion, four hundred twenty-seven million, seven hundred fifty-five thousand, six hundred".