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55714538880 = 27335711133221
BaseRepresentation
bin110011111000110110…
…000110010110000000
312022210211201211021000
4303320312012112000
51403100410221010
641332255532000
74011441523650
oct637066062600
9168724654230
1055714538880
11216a044a760
12a96a82a000
13533b95b490
1429a7672360
1516b13e17c0
hexcf8d86580

55714538880 has 1024 divisors, whose sum is σ = 265018521600. Its totient is φ = 10683187200.

The previous prime is 55714538879. The next prime is 55714538903. The reversal of 55714538880 is 8883541755.

55714538880 is a `hidden beast` number, since 557 + 1 + 4 + 5 + 3 + 8 + 8 + 80 = 666.

It is a super-2 number, since 2×557145388802 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17295670 + ... + 17298890.

It is an arithmetic number, because the mean of its divisors is an integer number (258807150).

Almost surely, 255714538880 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 55714538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132509260800).

55714538880 is an abundant number, since it is smaller than the sum of its proper divisors (209303982720).

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

55714538880 is a wasteful number, since it uses less digits than its factorization.

55714538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 55714538880 in words is "fifty-five billion, seven hundred fourteen million, five hundred thirty-eight thousand, eight hundred eighty".