139683398400 has 2268 divisors, whose sum is σ = 663203614752. Its totient is φ = 28844605440.

The previous prime is 139683398389. The next prime is 139683398401. The reversal of 139683398400 is 4893386931.

139683398400 is a `hidden beast` number, since 139 + 6 + 83 + 398 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a super-2 number, since 2×139683398400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (139683398401) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2971987177 + ... + 2971987223.

Almost surely, 2^139683398400 is an apocalyptic number.

139683398400 is a gapful number since it is divisible by the number (10) 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 139683398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331601807376).

139683398400 is an abundant number, since it is smaller than the sum of its proper divisors (523520216352).

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

139683398400 is an equidigital number, since it uses as much as digits as its factorization.

139683398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 139683398400 in words is "one hundred thirty-nine billion, six hundred eighty-three million, three hundred ninety-eight thousand, four hundred".