10674551880 has 192 divisors, whose sum is σ = 36619502400. Its totient is φ = 2689251840.

The previous prime is 10674551879. The next prime is 10674551891. The reversal of 10674551880 is 8815547601.

10674551880 is a `hidden beast` number, since 10 + 6 + 7 + 4 + 551 + 8 + 80 = 666.

It is a super-2 number, since 2×10674551880² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2713515 + ... + 2717445.

It is an arithmetic number, because the mean of its divisors is an integer number (190726575).

Almost surely, 2^10674551880 is an apocalyptic number.

10674551880 is a gapful number since it is divisible by the number (10) 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 10674551880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18309751200).

10674551880 is an abundant number, since it is smaller than the sum of its proper divisors (25944950520).

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

10674551880 is a wasteful number, since it uses less digits than its factorization.

10674551880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 10674551880 in words is "ten billion, six hundred seventy-four million, five hundred fifty-one thousand, eight hundred eighty".