153099206400 has 648 divisors, whose sum is σ = 590694161904. Its totient is φ = 34819276800.

The previous prime is 153099206357. The next prime is 153099206413. The reversal of 153099206400 is 4602990351.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 332102170 + ... + 332102630.

Almost surely, 2^153099206400 is an apocalyptic number.

153099206400 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 153099206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295347080952).

153099206400 is an abundant number, since it is smaller than the sum of its proper divisors (437594955504).

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

153099206400 is a wasteful number, since it uses less digits than its factorization.

153099206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 153099206400 in words is "one hundred fifty-three billion, ninety-nine million, two hundred six thousand, four hundred".