256152053760 has 768 divisors, whose sum is σ = 918721440000. Its totient is φ = 60643344384.

The previous prime is 256152053753. The next prime is 256152053813. The reversal of 256152053760 is 67350251652.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×256152053760² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 626288436 + ... + 626288844.

It is an arithmetic number, because the mean of its divisors is an integer number (1196251875).

Almost surely, 2^256152053760 is an apocalyptic number.

256152053760 is a gapful number since it is divisible by the number (20) 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 256152053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459360720000).

256152053760 is an abundant number, since it is smaller than the sum of its proper divisors (662569386240).

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

256152053760 is a wasteful number, since it uses less digits than its factorization.

256152053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 256152053760 in words is "two hundred fifty-six billion, one hundred fifty-two million, fifty-three thousand, seven hundred sixty".