10757298420 has 384 divisors, whose sum is σ = 38894929920. Its totient is φ = 2439383040.

The previous prime is 10757298407. The next prime is 10757298439. The reversal of 10757298420 is 2489275701.

It is a happy number.

10757298420 is a `hidden beast` number, since 1 + 0 + 75 + 72 + 98 + 420 = 666.

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, 31000687 + ... + 31001033.

It is an arithmetic number, because the mean of its divisors is an integer number (101288880).

Almost surely, 2^10757298420 is an apocalyptic number.

10757298420 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 10757298420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19447464960).

10757298420 is an abundant number, since it is smaller than the sum of its proper divisors (28137631500).

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

10757298420 is a wasteful number, since it uses less digits than its factorization.

10757298420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10757298420 in words is "ten billion, seven hundred fifty-seven million, two hundred ninety-eight thousand, four hundred twenty".