53990420400 has 720 divisors, whose sum is σ = 225307357184. Its totient is φ = 12160419840.

The previous prime is 53990420369. The next prime is 53990420413. The reversal of 53990420400 is 402409935.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 49668657 + ... + 49669743.

Almost surely, 2^53990420400 is an apocalyptic number.

53990420400 is a gapful number since it is divisible by the number (50) 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 53990420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112653678592).

53990420400 is an abundant number, since it is smaller than the sum of its proper divisors (171316936784).

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

53990420400 is a wasteful number, since it uses less digits than its factorization.

53990420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 53990420400 in words is "fifty-three billion, nine hundred ninety million, four hundred twenty thousand, four hundred".