153563508480 has 216 divisors, whose sum is σ = 517619510352. Its totient is φ = 38794641408.

The previous prime is 153563508467. The next prime is 153563508493. The reversal of 153563508480 is 84805365351.

It is an interprime number because it is at equal distance from previous prime (153563508467) and next prime (153563508493).

It is a super-2 number, since 2×153563508480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330852 + ... + 1441628.

It is an arithmetic number, because the mean of its divisors is an integer number (2396386622).

Almost surely, 2^153563508480 is an apocalyptic number.

153563508480 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 153563508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258809755176).

153563508480 is an abundant number, since it is smaller than the sum of its proper divisors (364056001872).

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

153563508480 is a wasteful number, since it uses less digits than its factorization.

153563508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110839 (or 110806 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 153563508480 in words is "one hundred fifty-three billion, five hundred sixty-three million, five hundred eight thousand, four hundred eighty".