83753152000 has 480 divisors, whose sum is σ = 257395016736. Its totient is φ = 27009024000.

The previous prime is 83753151997. The next prime is 83753152009. The reversal of 83753152000 is 25135738.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83753152009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53311215 + ... + 53312785.

Almost surely, 2^83753152000 is an apocalyptic number.

83753152000 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 83753152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128697508368).

83753152000 is an abundant number, since it is smaller than the sum of its proper divisors (173641864736).

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

83753152000 is a wasteful number, since it uses less digits than its factorization.

83753152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

Adding to 83753152000 its reverse (25135738), we get a palindrome (83778287738).

The spelling of 83753152000 in words is "eighty-three billion, seven hundred fifty-three million, one hundred fifty-two thousand".