10046250720 has 384 divisors, whose sum is σ = 38623495680. Its totient is φ = 2418647040.

The previous prime is 10046250713. The next prime is 10046250743. The reversal of 10046250720 is 2705264001.

10046250720 is a `hidden beast` number, since 10 + 0 + 4 + 625 + 0 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7745112 + ... + 7746408.

It is an arithmetic number, because the mean of its divisors is an integer number (100582020).

Almost surely, 2^10046250720 is an apocalyptic number.

10046250720 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 10046250720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19311747840).

10046250720 is an abundant number, since it is smaller than the sum of its proper divisors (28577244960).

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

10046250720 is a wasteful number, since it uses less digits than its factorization.

10046250720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10046250720 in words is "ten billion, forty-six million, two hundred fifty thousand, seven hundred twenty".