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55897620480 = 21738513
BaseRepresentation
bin110100000011110000…
…100000000000000000
312100021121020100000000
4310003300200000000
51403434242323410
641402400000000
74016123635362
oct640360400000
9170247210000
1055897620480
1121784827669
12aa00000000
13536a870ba0
1429c3accd32
1516c2507dc0
hexd03c20000

55897620480 has 648 divisors, whose sum is σ = 216698938092. Its totient is φ = 13759414272.

The previous prime is 55897620479. The next prime is 55897620529. The reversal of 55897620480 is 8402679855.

55897620480 is a `hidden beast` number, since 5 + 5 + 8 + 9 + 7 + 620 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52027785216 + 3869835264 = 228096^2 + 62208^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×558976204802 (a number of 22 digits) contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4299816954 + ... + 4299816966.

Almost surely, 255897620480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55897620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108349469046).

55897620480 is an abundant number, since it is smaller than the sum of its proper divisors (160801317612).

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

55897620480 is an frugal number, since it uses more digits than its factorization.

55897620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 55897620480 in words is "fifty-five billion, eight hundred ninety-seven million, six hundred twenty thousand, four hundred eighty".