857276006400 has 1620 divisors, whose sum is σ = 3598654124520. Its totient is φ = 200658124800.

The previous prime is 857276006347. The next prime is 857276006423. The reversal of 857276006400 is 4600672758.

857276006400 is a `hidden beast` number, since 8 + 572 + 76 + 0 + 0 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×857276006400² (a number of 25 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 29561241586 + ... + 29561241614.

Almost surely, 2^857276006400 is an apocalyptic number.

857276006400 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 857276006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799327062260).

857276006400 is an abundant number, since it is smaller than the sum of its proper divisors (2741378118120).

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

857276006400 is an frugal number, since it uses more digits than its factorization.

857276006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 857276006400 in words is "eight hundred fifty-seven billion, two hundred seventy-six million, six thousand, four hundred".