153055929600 has 1296 divisors, whose sum is σ = 653713715200. Its totient is φ = 34139750400.

The previous prime is 153055929529. The next prime is 153055929613. The reversal of 153055929600 is 6929550351.

153055929600 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 559 + 2 + 96 + 0 + 0 = 666.

It is a super-2 number, since 2×153055929600² (a number of 23 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1205164737 + ... + 1205164863.

Almost surely, 2^153055929600 is an apocalyptic number.

153055929600 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 153055929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326856857600).

153055929600 is an abundant number, since it is smaller than the sum of its proper divisors (500657785600).

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

153055929600 is a wasteful number, since it uses less digits than its factorization.

153055929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 153055929600 in words is "one hundred fifty-three billion, fifty-five million, nine hundred twenty-nine thousand, six hundred".