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55994419800 = 23335211217712
BaseRepresentation
bin110100001001100001…
…110000101001011000
312100112100101020201000
4310021201300221120
51404134032413200
641420134425000
74021410500214
oct641141605130
9170470336630
1055994419800
1121824432400
12aa28502160
1353849338a7
1429d28c9944
1516cac79300
hexd09870a58

55994419800 has 864 divisors, whose sum is σ = 227673709200. Its totient is φ = 12595968000.

The previous prime is 55994419799. The next prime is 55994419801. The reversal of 55994419800 is 891449955.

55994419800 is a `hidden beast` number, since 5 + 599 + 4 + 41 + 9 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55994419799) and next prime (55994419801).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55994419801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 788653765 + ... + 788653835.

Almost surely, 255994419800 is an apocalyptic number.

55994419800 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 55994419800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113836854600).

55994419800 is an abundant number, since it is smaller than the sum of its proper divisors (171679289400).

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

55994419800 is a wasteful number, since it uses less digits than its factorization.

55994419800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 55994419800 in words is "fifty-five billion, nine hundred ninety-four million, four hundred nineteen thousand, eight hundred".