10495457280 has 1536 divisors, whose sum is σ = 50948352000. Its totient is φ = 1981808640.

The previous prime is 10495457257. The next prime is 10495457351. The reversal of 10495457280 is 8275459401.

10495457280 is a `hidden beast` number, since 10 + 495 + 4 + 5 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×10495457280² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 361912306 + ... + 361912334.

It is an arithmetic number, because the mean of its divisors is an integer number (33169500).

Almost surely, 2^10495457280 is an apocalyptic number.

10495457280 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 10495457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474176000).

10495457280 is an abundant number, since it is smaller than the sum of its proper divisors (40452894720).

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

10495457280 is a wasteful number, since it uses less digits than its factorization.

10495457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10495457280 in words is "ten billion, four hundred ninety-five million, four hundred fifty-seven thousand, two hundred eighty".