32551249920 has 768 divisors, whose sum is σ = 129823948800. Its totient is φ = 6794772480.

The previous prime is 32551249879. The next prime is 32551249943. The reversal of 32551249920 is 2994215523.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126658432 + ... + 126658688.

It is an arithmetic number, because the mean of its divisors is an integer number (169041600).

Almost surely, 2^32551249920 is an apocalyptic number.

32551249920 is a gapful number since it is divisible by the number (30) 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 32551249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64911974400).

32551249920 is an abundant number, since it is smaller than the sum of its proper divisors (97272698880).

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

32551249920 is a wasteful number, since it uses less digits than its factorization.

32551249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 32551249920 in words is "thirty-two billion, five hundred fifty-one million, two hundred forty-nine thousand, nine hundred twenty".