398020083552 has 1440 divisors, whose sum is σ = 1569745723392. Its totient is φ = 97831286784.

The previous prime is 398020083551. The next prime is 398020083613. The reversal of 398020083552 is 255380020893.

398020083552 is a `hidden beast` number, since 3 + 98 + 0 + 2 + 0 + 0 + 8 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 398020083498 and 398020083507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398020083551) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1784843313 + ... + 1784843535.

Almost surely, 2^398020083552 is an apocalyptic number.

398020083552 is a gapful number since it is divisible by the number (32) 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 398020083552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784872861696).

398020083552 is an abundant number, since it is smaller than the sum of its proper divisors (1171725639840).

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

398020083552 is a wasteful number, since it uses less digits than its factorization.

398020083552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 398020083552 in words is "three hundred ninety-eight billion, twenty million, eighty-three thousand, five hundred fifty-two".