985949798400 has 1008 divisors, whose sum is σ = 4160747584000. Its totient is φ = 224227491840.

The previous prime is 985949798399. The next prime is 985949798423. The reversal of 985949798400 is 4897949589.

985949798400 is a `hidden beast` number, since 9 + 8 + 5 + 9 + 497 + 98 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4954521501 + ... + 4954521699.

Almost surely, 2^985949798400 is an apocalyptic number.

985949798400 is a gapful number since it is divisible by the number (90) 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 985949798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080373792000).

985949798400 is an abundant number, since it is smaller than the sum of its proper divisors (3174797785600).

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

985949798400 is an frugal number, since it uses more digits than its factorization.

985949798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 985949798400 in words is "nine hundred eighty-five billion, nine hundred forty-nine million, seven hundred ninety-eight thousand, four hundred".