10457555220 has 240 divisors, whose sum is σ = 37665344640. Its totient is φ = 2379269376.

The previous prime is 10457555201. The next prime is 10457555249. The reversal of 10457555220 is 2255575401.

10457555220 is a `hidden beast` number, since 10 + 4 + 5 + 75 + 552 + 20 = 666.

It is a super-2 number, since 2×10457555220² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2594847 + ... + 2598873.

It is an arithmetic number, because the mean of its divisors is an integer number (156938936).

Almost surely, 2^10457555220 is an apocalyptic number.

10457555220 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 10457555220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18832672320).

10457555220 is an abundant number, since it is smaller than the sum of its proper divisors (27207789420).

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

10457555220 is a wasteful number, since it uses less digits than its factorization.

10457555220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The spelling of 10457555220 in words is "ten billion, four hundred fifty-seven million, five hundred fifty-five thousand, two hundred twenty".