10554261984 has 384 divisors, whose sum is σ = 37228584960. Its totient is φ = 2844979200.

The previous prime is 10554261973. The next prime is 10554262009. The reversal of 10554261984 is 48916245501.

10554261984 is a `hidden beast` number, since 1 + 0 + 554 + 2 + 6 + 1 + 98 + 4 = 666.

It is a super-2 number, since 2×10554261984² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7686322 + ... + 7687694.

It is an arithmetic number, because the mean of its divisors is an integer number (96949440).

Almost surely, 2^10554261984 is an apocalyptic number.

10554261984 is a gapful number since it is divisible by the number (14) 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 10554261984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614292480).

10554261984 is an abundant number, since it is smaller than the sum of its proper divisors (26674322976).

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

10554261984 is a wasteful number, since it uses less digits than its factorization.

10554261984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10554261984 in words is "ten billion, five hundred fifty-four million, two hundred sixty-one thousand, nine hundred eighty-four".