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55958472000 = 2633533161137
BaseRepresentation
bin110100000111011000…
…101000010101000000
312100102211201220121000
4310013120220111000
51404100332101000
641412412132000
74020463110144
oct640730502500
9170384656530
1055958472000
112180610a282
12aa18467000
13537a3585c2
1429cbc0d224
1516c7a28000
hexd07628540

55958472000 has 896 divisors, whose sum is σ = 216974684160. Its totient is φ = 14100480000.

The previous prime is 55958471983. The next prime is 55958472019. The reversal of 55958472000 is 27485955.

55958472000 is a `hidden beast` number, since 559 + 58 + 47 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 408455932 + ... + 408456068.

Almost surely, 255958472000 is an apocalyptic number.

55958472000 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 55958472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108487342080).

55958472000 is an abundant number, since it is smaller than the sum of its proper divisors (161016212160).

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

55958472000 is a wasteful number, since it uses less digits than its factorization.

55958472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 55958472000 in words is "fifty-five billion, nine hundred fifty-eight million, four hundred seventy-two thousand".