153925161062400 has 5616 divisors, whose sum is σ = 729756034499520. Its totient is φ = 32085234155520.

The previous prime is 153925161062383. The next prime is 153925161062429. The reversal of 153925161062400 is 4260161529351.

It is a happy number.

153925161062400 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 2 + 5 + 1 + 6 + 10 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5616).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1854520012759 + ... + 1854520012841.

Almost surely, 2^{153925161062400} is an apocalyptic number.

153925161062400 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 153925161062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364878017249760).

153925161062400 is an abundant number, since it is smaller than the sum of its proper divisors (575830873437120).

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

153925161062400 is an frugal number, since it uses more digits than its factorization.

153925161062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 153925161062400 in words is "one hundred fifty-three trillion, nine hundred twenty-five billion, one hundred sixty-one million, sixty-two thousand, four hundred".