153968396400 has 1440 divisors, whose sum is σ = 692667888640. Its totient is φ = 32170245120.

The previous prime is 153968396377. The next prime is 153968396401. The reversal of 153968396400 is 4693869351.

153968396400 is a `hidden beast` number, since 1 + 539 + 68 + 3 + 9 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153968396401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1494838749 + ... + 1494838851.

Almost surely, 2^153968396400 is an apocalyptic number.

153968396400 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 153968396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346333944320).

153968396400 is an abundant number, since it is smaller than the sum of its proper divisors (538699492240).

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

153968396400 is a wasteful number, since it uses less digits than its factorization.

153968396400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 153968396400 in words is "one hundred fifty-three billion, nine hundred sixty-eight million, three hundred ninety-six thousand, four hundred".