32099272010400 has 576 divisors, whose sum is σ = 126644416738560. Its totient is φ = 6893862912000.

The previous prime is 32099272010389. The next prime is 32099272010453. The reversal of 32099272010400 is 401027299023.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171552096 + ... + 171739104.

It is an arithmetic number, because the mean of its divisors is an integer number (219868779060).

Almost surely, 2^{32099272010400} is an apocalyptic number.

32099272010400 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 32099272010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63322208369280).

32099272010400 is an abundant number, since it is smaller than the sum of its proper divisors (94545144728160).

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

32099272010400 is a wasteful number, since it uses less digits than its factorization.

32099272010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187657 (or 187644 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 32099272010400 in words is "thirty-two trillion, ninety-nine billion, two hundred seventy-two million, ten thousand, four hundred".