153421256430 has 576 divisors, whose sum is σ = 501459154560. Its totient is φ = 32174309376.

The previous prime is 153421256393. The next prime is 153421256473. The reversal of 153421256430 is 34652124351.

153421256430 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 2 + 1 + 2 + 5 + 643 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 165146206 + ... + 165147134.

It is an arithmetic number, because the mean of its divisors is an integer number (870588810).

Almost surely, 2^153421256430 is an apocalyptic number.

153421256430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153421256430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250729577280).

153421256430 is an abundant number, since it is smaller than the sum of its proper divisors (348037898130).

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

153421256430 is a wasteful number, since it uses less digits than its factorization.

153421256430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 153421256430 in words is "one hundred fifty-three billion, four hundred twenty-one million, two hundred fifty-six thousand, four hundred thirty".