1082554362000 has 640 divisors, whose sum is σ = 4058303109120. Its totient is φ = 275552409600.

The previous prime is 1082554361989. The next prime is 1082554362047. The reversal of 1082554362000 is 2634552801.

1082554362000 is a `hidden beast` number, since 1 + 0 + 8 + 25 + 5 + 4 + 3 + 620 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 105888889 + ... + 105899111.

It is an arithmetic number, because the mean of its divisors is an integer number (6341098608).

Almost surely, 2^{1082554362000} is an apocalyptic number.

1082554362000 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 1082554362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029151554560).

1082554362000 is an abundant number, since it is smaller than the sum of its proper divisors (2975748747120).

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

1082554362000 is a wasteful number, since it uses less digits than its factorization.

1082554362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10345 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1082554362000 in words is "one trillion, eighty-two billion, five hundred fifty-four million, three hundred sixty-two thousand".