1151400056670 has 96 divisors (see below), whose sum is σ = 3101892693120. Its totient is φ = 295971540480.

The previous prime is 1151400056647. The next prime is 1151400056693. The reversal of 1151400056670 is 766500041511.

It is a happy number.

1151400056670 is a `hidden beast` number, since 1 + 1 + 51 + 40 + 0 + 0 + 566 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1151400056647) and next prime (1151400056693).

It is a super-2 number, since 2×1151400056670² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1252875 + ... + 1967865.

It is an arithmetic number, because the mean of its divisors is an integer number (32311382220).

Almost surely, 2^{1151400056670} is an apocalyptic number.

1151400056670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151400056670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550946346560).

1151400056670 is an abundant number, since it is smaller than the sum of its proper divisors (1950492636450).

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

1151400056670 is a wasteful number, since it uses less digits than its factorization.

1151400056670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715650 (or 715647 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1151400056670 in words is "one trillion, one hundred fifty-one billion, four hundred million, fifty-six thousand, six hundred seventy".