153520493729400 has 5760 divisors, whose sum is σ = 708667577640000. Its totient is φ = 30550199500800.

The previous prime is 153520493729387. The next prime is 153520493729423. The reversal of 153520493729400 is 4927394025351.

It is a happy number.

153520493729400 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 204 + 9 + 3 + 7 + 29 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 1408444896546 + ... + 1408444896654.

Almost surely, 2^{153520493729400} is an apocalyptic number.

153520493729400 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 153520493729400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354333788820000).

153520493729400 is an abundant number, since it is smaller than the sum of its proper divisors (555147083910600).

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

153520493729400 is a wasteful number, since it uses less digits than its factorization.

153520493729400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 153520493729400 in words is "one hundred fifty-three trillion, five hundred twenty billion, four hundred ninety-three million, seven hundred twenty-nine thousand, four hundred".