5155156742400 has 1512 divisors, whose sum is σ = 22622058137280. Its totient is φ = 1137480744960.

The previous prime is 5155156742381. The next prime is 5155156742419. The reversal of 5155156742400 is 42476515515.

5155156742400 is a `hidden beast` number, since 5 + 1 + 5 + 5 + 1 + 567 + 42 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5155156742381) and next prime (5155156742419).

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 947114079 + ... + 947119521.

Almost surely, 2^{5155156742400} is an apocalyptic number.

5155156742400 is a gapful number since it is divisible by the number (50) 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 5155156742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11311029068640).

5155156742400 is an abundant number, since it is smaller than the sum of its proper divisors (17466901394880).

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

5155156742400 is an equidigital number, since it uses as much as digits as its factorization.

5155156742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 5155156742400 in words is "five trillion, one hundred fifty-five billion, one hundred fifty-six million, seven hundred forty-two thousand, four hundred".