10263939840 has 1728 divisors, whose sum is σ = 50331456000. Its totient is φ = 1950842880.

The previous prime is 10263939827. The next prime is 10263939893. The reversal of 10263939840 is 4893936201.

It is a happy number.

10263939840 is a `hidden beast` number, since 1 + 0 + 2 + 639 + 3 + 9 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×10263939840² (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 191 ways as a sum of consecutive naturals, for example, 353928946 + ... + 353928974.

It is an arithmetic number, because the mean of its divisors is an integer number (29127000).

Almost surely, 2^10263939840 is an apocalyptic number.

10263939840 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 10263939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165728000).

10263939840 is an abundant number, since it is smaller than the sum of its proper divisors (40067516160).

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

10263939840 is a wasteful number, since it uses less digits than its factorization.

10263939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10263939840 in words is "ten billion, two hundred sixty-three million, nine hundred thirty-nine thousand, eight hundred forty".