10857428870400 has 864 divisors, whose sum is σ = 47479081144320. Its totient is φ = 2373792030720.

The previous prime is 10857428870399. The next prime is 10857428870401. The reversal of 10857428870400 is 407882475801.

10857428870400 is a `hidden beast` number, since 1 + 0 + 8 + 57 + 42 + 88 + 70 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (10857428870399) and next prime (10857428870401).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10857428870401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27625669 + ... + 28015931.

Almost surely, 2^{10857428870400} is an apocalyptic number.

10857428870400 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 10857428870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23739540572160).

10857428870400 is an abundant number, since it is smaller than the sum of its proper divisors (36621652273920).

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

10857428870400 is a wasteful number, since it uses less digits than its factorization.

10857428870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390328 (or 390303 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 10857428870400 in words is "ten trillion, eight hundred fifty-seven billion, four hundred twenty-eight million, eight hundred seventy thousand, four hundred".