90948472800 has 144 divisors (see below), whose sum is σ = 296934244992. Its totient is φ = 24179443200.

The previous prime is 90948472739. The next prime is 90948472807. The reversal of 90948472800 is 827484909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90948472807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737157 + ... + 851643.

It is an arithmetic number, because the mean of its divisors is an integer number (2062043368).

Almost surely, 2^90948472800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90948472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148467122496).

90948472800 is an abundant number, since it is smaller than the sum of its proper divisors (205985772192).

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

90948472800 is a wasteful number, since it uses less digits than its factorization.

90948472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114841 (or 114828 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 90948472800 in words is "ninety billion, nine hundred forty-eight million, four hundred seventy-two thousand, eight hundred".