58402661990400 has 4104 divisors, whose sum is σ = 277155321590784. Its totient is φ = 11924825702400.

The previous prime is 58402661990381. The next prime is 58402661990417. The reversal of 58402661990400 is 409916620485.

58402661990400 is a `hidden beast` number, since 5 + 8 + 40 + 2 + 6 + 6 + 199 + 0 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1883956838385 + ... + 1883956838415.

Almost surely, 2^{58402661990400} is an apocalyptic number.

58402661990400 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 58402661990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138577660795392).

58402661990400 is an abundant number, since it is smaller than the sum of its proper divisors (218752659600384).

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

58402661990400 is an frugal number, since it uses more digits than its factorization.

58402661990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 58402661990400 in words is "fifty-eight trillion, four hundred two billion, six hundred sixty-one million, nine hundred ninety thousand, four hundred".