5402621952000 has 1440 divisors, whose sum is σ = 23979945435264. Its totient is φ = 1139539968000.

The previous prime is 5402621951999. The next prime is 5402621952017. The reversal of 5402621952000 is 2591262045.

5402621952000 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 621 + 9 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 95 ways as a sum of consecutive naturals, for example, 1677310390 + ... + 1677313610.

Almost surely, 2^{5402621952000} is an apocalyptic number.

5402621952000 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 5402621952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11989972717632).

5402621952000 is an abundant number, since it is smaller than the sum of its proper divisors (18577323483264).

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

5402621952000 is a wasteful number, since it uses less digits than its factorization.

5402621952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5402621952000 in words is "five trillion, four hundred two billion, six hundred twenty-one million, nine hundred fifty-two thousand".