10051570240 has 112 divisors (see below), whose sum is σ = 24402281904. Its totient is φ = 3942604800.

The previous prime is 10051570213. The next prime is 10051570261. The reversal of 10051570240 is 4207515001.

It can be written as a sum of positive squares in 8 ways, for example, as 4685128704 + 5366441536 = 68448^2 + 73256^2 .

It is a super-3 number, since 3×10051570240³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8998162 + ... + 8999278.

It is an arithmetic number, because the mean of its divisors is an integer number (217877517).

Almost surely, 2^10051570240 is an apocalyptic number.

10051570240 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 10051570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201140952).

10051570240 is an abundant number, since it is smaller than the sum of its proper divisors (14350711664).

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

10051570240 is a wasteful number, since it uses less digits than its factorization.

10051570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The spelling of 10051570240 in words is "ten billion, fifty-one million, five hundred seventy thousand, two hundred forty".