10496747520 has 576 divisors, whose sum is σ = 42499416960. Its totient is φ = 2346319872.

The previous prime is 10496747497. The next prime is 10496747537. The reversal of 10496747520 is 2574769401.

10496747520 is a `hidden beast` number, since 1 + 0 + 496 + 74 + 75 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10496747520² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34191207 + ... + 34191513.

It is an arithmetic number, because the mean of its divisors is an integer number (73783710).

Almost surely, 2^10496747520 is an apocalyptic number.

10496747520 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 10496747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21249708480).

10496747520 is an abundant number, since it is smaller than the sum of its proper divisors (32002669440).

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

10496747520 is a wasteful number, since it uses less digits than its factorization.

10496747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10496747520 in words is "ten billion, four hundred ninety-six million, seven hundred forty-seven thousand, five hundred twenty".