55367407557000 has 1152 divisors, whose sum is σ = 239222463367680. Its totient is φ = 11420801280000.

The previous prime is 55367407556969. The next prime is 55367407557037. The reversal of 55367407557000 is 75570476355.

55367407557000 is a `hidden beast` number, since 5 + 5 + 3 + 67 + 4 + 0 + 7 + 5 + 570 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 664545345 + ... + 664628655.

It is an arithmetic number, because the mean of its divisors is an integer number (207658388340).

Almost surely, 2^{55367407557000} is an apocalyptic number.

55367407557000 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 55367407557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119611231683840).

55367407557000 is an abundant number, since it is smaller than the sum of its proper divisors (183855055810680).

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

55367407557000 is a wasteful number, since it uses less digits than its factorization.

55367407557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83500 (or 83476 counting only the distinct ones).

The product of its (nonzero) digits is 15435000, while the sum is 54.

The spelling of 55367407557000 in words is "fifty-five trillion, three hundred sixty-seven billion, four hundred seven million, five hundred fifty-seven thousand".