153629765056 has 56 divisors (see below), whose sum is σ = 309715976960. Its totient is φ = 75593371392.

The previous prime is 153629765039. The next prime is 153629765099. The reversal of 153629765056 is 650567926351.

It is a super-2 number, since 2×153629765056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153629764988 and 153629765006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4437991 + ... + 4472473.

Almost surely, 2^153629765056 is an apocalyptic number.

153629765056 is a gapful number since it is divisible by the number (16) 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 153629765056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154857988480).

153629765056 is an abundant number, since it is smaller than the sum of its proper divisors (156086211904).

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

153629765056 is a wasteful number, since it uses less digits than its factorization.

153629765056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35601 (or 35591 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 55.

The spelling of 153629765056 in words is "one hundred fifty-three billion, six hundred twenty-nine million, seven hundred sixty-five thousand, fifty-six".