551653114000 has 320 divisors, whose sum is σ = 1431520376832. Its totient is φ = 205100544000.

The previous prime is 551653113967. The next prime is 551653114003. The reversal of 551653114000 is 411356155.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (551653114003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 692161602 + ... + 692162398.

Almost surely, 2^551653114000 is an apocalyptic number.

551653114000 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 551653114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715760188416).

551653114000 is an abundant number, since it is smaller than the sum of its proper divisors (879867262832).

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

551653114000 is a wasteful number, since it uses less digits than its factorization.

551653114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 551653114000 in words is "five hundred fifty-one billion, six hundred fifty-three million, one hundred fourteen thousand".