10499735600640 has 3840 divisors, whose sum is σ = 48159031624704. Its totient is φ = 2153093529600.

The previous prime is 10499735600579. The next prime is 10499735600659. The reversal of 10499735600640 is 4600653799401.

10499735600640 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 9 + 73 + 560 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×10499735600640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 80150653375 + ... + 80150653505.

Almost surely, 2^{10499735600640} is an apocalyptic number.

10499735600640 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 10499735600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24079515812352).

10499735600640 is an abundant number, since it is smaller than the sum of its proper divisors (37659296024064).

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

10499735600640 is a wasteful number, since it uses less digits than its factorization.

10499735600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 10499735600640 in words is "ten trillion, four hundred ninety-nine billion, seven hundred thirty-five million, six hundred thousand, six hundred forty".