5631145920000 has 1400 divisors, whose sum is σ = 21377565364320. Its totient is φ = 1480550400000.

The previous prime is 5631145919983. The next prime is 5631145920079. The reversal of 5631145920000 is 295411365.

5631145920000 is a `hidden beast` number, since 5 + 63 + 1 + 1 + 4 + 592 + 0 + 0 + 0 + 0 = 666.

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

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 139 ways as a sum of consecutive naturals, for example, 23561279881 + ... + 23561280119.

Almost surely, 2^{5631145920000} is an apocalyptic number.

5631145920000 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 5631145920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10688782682160).

5631145920000 is an abundant number, since it is smaller than the sum of its proper divisors (15746419444320).

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

5631145920000 is an frugal number, since it uses more digits than its factorization.

5631145920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 5631145920000 in words is "five trillion, six hundred thirty-one billion, one hundred forty-five million, nine hundred twenty thousand".