10277006487552 has 1248 divisors, whose sum is σ = 37086096872448. Its totient is φ = 2678117105664.

The previous prime is 10277006487533. The next prime is 10277006487611. The reversal of 10277006487552 is 25578460077201.

10277006487552 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 7 + 0 + 0 + 6 + 4 + 87 + 552 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11638738503 + ... + 11638739385.

It is an arithmetic number, because the mean of its divisors is an integer number (29716423776).

Almost surely, 2^{10277006487552} is an apocalyptic number.

10277006487552 is a gapful number since it is divisible by the number (12) 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 10277006487552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543048436224).

10277006487552 is an abundant number, since it is smaller than the sum of its proper divisors (26809090384896).

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

10277006487552 is a wasteful number, since it uses less digits than its factorization.

10277006487552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 10277006487552 in words is "ten trillion, two hundred seventy-seven billion, six million, four hundred eighty-seven thousand, five hundred fifty-two".