553054419216000 has 3072 divisors, whose sum is σ = 2345830444339200. Its totient is φ = 128516751360000.

The previous prime is 553054419215933. The next prime is 553054419216011. The reversal of 553054419216000 is 612914450355.

It is a happy number.

553054419216000 is a `hidden beast` number, since 5 + 5 + 3 + 0 + 5 + 4 + 4 + 19 + 21 + 600 + 0 = 666.

It is a super-2 number, since 2×553054419216000² (a number of 30 digits) contains 22 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64241419696 + ... + 64241428304.

It is an arithmetic number, because the mean of its divisors is an integer number (763616681100).

Almost surely, 2^{553054419216000} is an apocalyptic number.

553054419216000 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 553054419216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172915222169600).

553054419216000 is an abundant number, since it is smaller than the sum of its proper divisors (1792776025123200).

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

553054419216000 is a wasteful number, since it uses less digits than its factorization.

553054419216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 553054419216000 in words is "five hundred fifty-three trillion, fifty-four billion, four hundred nineteen million, two hundred sixteen thousand".