10249873920 has 1280 divisors, whose sum is σ = 46032053760. Its totient is φ = 2123366400.

The previous prime is 10249873919. The next prime is 10249873951. The reversal of 10249873920 is 2937894201.

10249873920 is a `hidden beast` number, since 1 + 0 + 2 + 498 + 73 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 168030690 + ... + 168030750.

It is an arithmetic number, because the mean of its divisors is an integer number (35962542).

Almost surely, 2^10249873920 is an apocalyptic number.

10249873920 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 10249873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23016026880).

10249873920 is an abundant number, since it is smaller than the sum of its proper divisors (35782179840).

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

10249873920 is a wasteful number, since it uses less digits than its factorization.

10249873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10249873920 in words is "ten billion, two hundred forty-nine million, eight hundred seventy-three thousand, nine hundred twenty".