10249068622500 has 720 divisors, whose sum is σ = 33487745491200. Its totient is φ = 2641102848000.

The previous prime is 10249068622493. The next prime is 10249068622501. The reversal of 10249068622500 is 522686094201.

10249068622500 is a `hidden beast` number, since 1 + 0 + 2 + 49 + 0 + 6 + 86 + 22 + 500 = 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 (10249068622501) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27926617317 + ... + 27926617683.

Almost surely, 2^{10249068622500} is an apocalyptic number.

10249068622500 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 10249068622500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16743872745600).

10249068622500 is an abundant number, since it is smaller than the sum of its proper divisors (23238676868700).

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

10249068622500 is a wasteful number, since it uses less digits than its factorization.

10249068622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10249068622500 in words is "ten trillion, two hundred forty-nine billion, sixty-eight million, six hundred twenty-two thousand, five hundred".