10425801600 has 960 divisors, whose sum is σ = 42468822000. Its totient is φ = 2508226560.

The previous prime is 10425801569. The next prime is 10425801601. The reversal of 10425801600 is 610852401.

10425801600 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 58 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10425801601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 142819164 + ... + 142819236.

Almost surely, 2^10425801600 is an apocalyptic number.

10425801600 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 10425801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234411000).

10425801600 is an abundant number, since it is smaller than the sum of its proper divisors (32043020400).

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

10425801600 is a wasteful number, since it uses less digits than its factorization.

10425801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10425801600 in words is "ten billion, four hundred twenty-five million, eight hundred one thousand, six hundred".