54881142091776 has 2080 divisors, whose sum is σ = 221323300627968. Its totient is φ = 13086731796480.

The previous prime is 54881142091759. The next prime is 54881142091861. The reversal of 54881142091776 is 67719024118845.

54881142091776 is a `hidden beast` number, since 5 + 48 + 8 + 11 + 420 + 91 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85351698111 + ... + 85351698753.

Almost surely, 2^{54881142091776} is an apocalyptic number.

54881142091776 is a gapful number since it is divisible by the number (56) 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 54881142091776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110661650313984).

54881142091776 is an abundant number, since it is smaller than the sum of its proper divisors (166442158536192).

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

54881142091776 is a wasteful number, since it uses less digits than its factorization.

54881142091776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 54881142091776 in words is "fifty-four trillion, eight hundred eighty-one billion, one hundred forty-two million, ninety-one thousand, seven hundred seventy-six".