6116553408000 has 640 divisors, whose sum is σ = 23266326859776. Its totient is φ = 1396555776000.

The previous prime is 6116553407989. The next prime is 6116553408137. The reversal of 6116553408000 is 8043556116.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 6116553408000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1654462152 + ... + 1654465848.

Almost surely, 2^{6116553408000} is an apocalyptic number.

6116553408000 is a gapful number since it is divisible by the number (60) 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 6116553408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633163429888).

6116553408000 is an abundant number, since it is smaller than the sum of its proper divisors (17149773451776).

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

6116553408000 is a wasteful number, since it uses less digits than its factorization.

6116553408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 6116553408000 in words is "six trillion, one hundred sixteen billion, five hundred fifty-three million, four hundred eight thousand".