5962602038400 has 1152 divisors, whose sum is σ = 25065715334400. Its totient is φ = 1321463808000.

The previous prime is 5962602038381. The next prime is 5962602038431. The reversal of 5962602038400 is 48302062695.

5962602038400 is a `hidden beast` number, since 5 + 9 + 6 + 2 + 602 + 0 + 38 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×5962602038400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 873126186 + ... + 873133014.

It is an arithmetic number, because the mean of its divisors is an integer number (21758433450).

Almost surely, 2^{5962602038400} is an apocalyptic number.

5962602038400 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 5962602038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12532857667200).

5962602038400 is an abundant number, since it is smaller than the sum of its proper divisors (19103113296000).

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

5962602038400 is a wasteful number, since it uses less digits than its factorization.

5962602038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 596260 and 2038400, that added together give a triangular number (2634660 = T₂₂₉₅).

The spelling of 5962602038400 in words is "five trillion, nine hundred sixty-two billion, six hundred two million, thirty-eight thousand, four hundred".