83937890400 has 288 divisors, whose sum is σ = 336268977408. Its totient is φ = 17709926400.

The previous prime is 83937890389. The next prime is 83937890437. The reversal of 83937890400 is 409873938.

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, 26235 + ... + 410565.

It is an arithmetic number, because the mean of its divisors is an integer number (1167600616).

Almost surely, 2^83937890400 is an apocalyptic number.

83937890400 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 83937890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168134488704).

83937890400 is an abundant number, since it is smaller than the sum of its proper divisors (252331087008).

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

83937890400 is a wasteful number, since it uses less digits than its factorization.

83937890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384374 (or 384361 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 83937890400 in words is "eighty-three billion, nine hundred thirty-seven million, eight hundred ninety thousand, four hundred".