83498750400 has 336 divisors, whose sum is σ = 312376194144. Its totient is φ = 19344261120.

The previous prime is 83498750399. The next prime is 83498750411. The reversal of 83498750400 is 405789438.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83498750400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021444 + ... + 1100156.

It is an arithmetic number, because the mean of its divisors is an integer number (929691054).

Almost surely, 2^83498750400 is an apocalyptic number.

83498750400 is a gapful number since it is divisible by the number (80) 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 83498750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156188097072).

83498750400 is an abundant number, since it is smaller than the sum of its proper divisors (228877443744).

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

83498750400 is a wasteful number, since it uses less digits than its factorization.

83498750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78768 (or 78753 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 83498750400 in words is "eighty-three billion, four hundred ninety-eight million, seven hundred fifty thousand, four hundred".