857152472400 has 720 divisors, whose sum is σ = 3619811769600. Its totient is φ = 187396070400.

The previous prime is 857152472381. The next prime is 857152472453. The reversal of 857152472400 is 4274251758.

857152472400 is a `hidden beast` number, since 8 + 57 + 1 + 524 + 72 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 28385310 + ... + 28415490.

Almost surely, 2^857152472400 is an apocalyptic number.

857152472400 is a gapful number since it is divisible by the number (80) 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 857152472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809905884800).

857152472400 is an abundant number, since it is smaller than the sum of its proper divisors (2762659297200).

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

857152472400 is a wasteful number, since it uses less digits than its factorization.

857152472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30249 (or 30221 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 857152472400 in words is "eight hundred fifty-seven billion, one hundred fifty-two million, four hundred seventy-two thousand, four hundred".