10249809861564 has 288 divisors, whose sum is σ = 32336312013824. Its totient is φ = 2665293050880.

The previous prime is 10249809861547. The next prime is 10249809861623. The reversal of 10249809861564 is 46516890894201.

10249809861564 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 9 + 8 + 0 + 9 + 8 + 61 + 564 = 666.

10249809861564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 940085337 + ... + 940096239.

Almost surely, 2^{10249809861564} is an apocalyptic number.

10249809861564 is a gapful number since it is divisible by the number (14) 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 10249809861564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168156006912).

10249809861564 is an abundant number, since it is smaller than the sum of its proper divisors (22086502152260).

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

10249809861564 is a wasteful number, since it uses less digits than its factorization.

10249809861564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14937 (or 14932 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 10249809861564 in words is "ten trillion, two hundred forty-nine billion, eight hundred nine million, eight hundred sixty-one thousand, five hundred sixty-four".