1151582461920 has 576 divisors, whose sum is σ = 4421048905728. Its totient is φ = 270535680000.

The previous prime is 1151582461903. The next prime is 1151582461973. The reversal of 1151582461920 is 291642851511.

1151582461920 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 5 + 8 + 2 + 4 + 619 + 20 = 666.

It is a super-2 number, since 2×1151582461920² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 98059569 + ... + 98071311.

It is an arithmetic number, because the mean of its divisors is an integer number (7675432128).

Almost surely, 2^{1151582461920} is an apocalyptic number.

1151582461920 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 1151582461920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210524452864).

1151582461920 is an abundant number, since it is smaller than the sum of its proper divisors (3269466443808).

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

1151582461920 is a wasteful number, since it uses less digits than its factorization.

1151582461920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11967 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1151582461920 in words is "one trillion, one hundred fifty-one billion, five hundred eighty-two million, four hundred sixty-one thousand, nine hundred twenty".