856920153600 has 2160 divisors, whose sum is σ = 3789972426240. Its totient is φ = 184091443200.

The previous prime is 856920153581. The next prime is 856920153619. The reversal of 856920153600 is 6351029658.

856920153600 is a `hidden beast` number, since 8 + 5 + 6 + 9 + 20 + 15 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (856920153581) and next prime (856920153619).

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 215 ways as a sum of consecutive naturals, for example, 10324339159 + ... + 10324339241.

It is an arithmetic number, because the mean of its divisors is an integer number (1754616864).

Almost surely, 2^856920153600 is an apocalyptic number.

856920153600 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 856920153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894986213120).

856920153600 is an abundant number, since it is smaller than the sum of its proper divisors (2933052272640).

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

856920153600 is a wasteful number, since it uses less digits than its factorization.

856920153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 856920153600 in words is "eight hundred fifty-six billion, nine hundred twenty million, one hundred fifty-three thousand, six hundred".