153424942560 has 384 divisors, whose sum is σ = 561198274560. Its totient is φ = 39109367808.

The previous prime is 153424942507. The next prime is 153424942613. The reversal of 153424942560 is 65249424351.

153424942560 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 2 + 49 + 42 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (153424942507) and next prime (153424942613).

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 63 ways as a sum of consecutive naturals, for example, 8721934 + ... + 8739506.

It is an arithmetic number, because the mean of its divisors is an integer number (1461453840).

Almost surely, 2^153424942560 is an apocalyptic number.

153424942560 is a gapful number since it is divisible by the number (10) 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 153424942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280599137280).

153424942560 is an abundant number, since it is smaller than the sum of its proper divisors (407773332000).

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

153424942560 is a wasteful number, since it uses less digits than its factorization.

153424942560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17687 (or 17673 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 153424942560 in words is "one hundred fifty-three billion, four hundred twenty-four million, nine hundred forty-two thousand, five hundred sixty".