10095337402560 has 224 divisors, whose sum is σ = 35782900646400. Its totient is φ = 2679330769920.

The previous prime is 10095337402559. The next prime is 10095337402567. The reversal of 10095337402560 is 6520473359001.

10095337402560 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 53 + 37 + 4 + 0 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10095337402567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945780 + ... + 4591859.

Almost surely, 2^{10095337402560} is an apocalyptic number.

10095337402560 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 10095337402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17891450323200).

10095337402560 is an abundant number, since it is smaller than the sum of its proper divisors (25687563243840).

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

10095337402560 is a wasteful number, since it uses less digits than its factorization.

10095337402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537876 (or 5537860 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 10095337402560 in words is "ten trillion, ninety-five billion, three hundred thirty-seven million, four hundred two thousand, five hundred sixty".