153500363004000 has 96 divisors (see below), whose sum is σ = 502867189240416. Its totient is φ = 40933430131200.

The previous prime is 153500363003993. The next prime is 153500363004013. The reversal of 153500363004000 is 400363005351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×153500363004000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6395836459 + ... + 6395860458.

It is an arithmetic number, because the mean of its divisors is an integer number (5238199887921).

Almost surely, 2^{153500363004000} is an apocalyptic number.

153500363004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153500363004000 is an abundant number, since it is smaller than the sum of its proper divisors (349366826236416).

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

153500363004000 is a wasteful number, since it uses less digits than its factorization.

153500363004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12791696945 (or 12791696927 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 153500363004000 in words is "one hundred fifty-three trillion, five hundred billion, three hundred sixty-three million, four thousand".