153474764220400 has 240 divisors, whose sum is σ = 423376143960384. Its totient is φ = 52373400330240.

The previous prime is 153474764220397. The next prime is 153474764220467. The reversal of 153474764220400 is 4022467474351.

153474764220400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579470404 + ... + 579735196.

Almost surely, 2^{153474764220400} is an apocalyptic number.

153474764220400 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 153474764220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211688071980192).

153474764220400 is an abundant number, since it is smaller than the sum of its proper divisors (269901379739984).

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

153474764220400 is a wasteful number, since it uses less digits than its factorization.

153474764220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265788 (or 265777 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 49.

The spelling of 153474764220400 in words is "one hundred fifty-three trillion, four hundred seventy-four billion, seven hundred sixty-four million, two hundred twenty thousand, four hundred".