83753385962400 has 864 divisors, whose sum is σ = 373396577089536. Its totient is φ = 17158176000000.

The previous prime is 83753385962399. The next prime is 83753385962459. The reversal of 83753385962400 is 426958335738.

It is a happy number.

83753385962400 is a `hidden beast` number, since 8 + 3 + 7 + 5 + 3 + 38 + 596 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38298525 + ... + 40426275.

It is an arithmetic number, because the mean of its divisors is an integer number (432171964224).

Almost surely, 2^{83753385962400} is an apocalyptic number.

83753385962400 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 83753385962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186698288544768).

83753385962400 is an abundant number, since it is smaller than the sum of its proper divisors (289643191127136).

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

83753385962400 is a wasteful number, since it uses less digits than its factorization.

83753385962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127866 (or 2127850 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 83753385962400 in words is "eighty-three trillion, seven hundred fifty-three billion, three hundred eighty-five million, nine hundred sixty-two thousand, four hundred".