70542424058400 has 1728 divisors, whose sum is σ = 297634566168576. Its totient is φ = 15383181312000.

The previous prime is 70542424058383. The next prime is 70542424058437. The reversal of 70542424058400 is 485042424507.

70542424058400 is a `hidden beast` number, since 7 + 0 + 5 + 4 + 24 + 2 + 40 + 584 + 0 + 0 = 666.

70542424058400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×70542424058400² (a number of 28 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 38952193495 + ... + 38952195305.

It is an arithmetic number, because the mean of its divisors is an integer number (172242225792).

Almost surely, 2^{70542424058400} is an apocalyptic number.

70542424058400 is a gapful number since it is divisible by the number (70) 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 70542424058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148817283084288).

70542424058400 is an abundant number, since it is smaller than the sum of its proper divisors (227092142110176).

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

70542424058400 is a wasteful number, since it uses less digits than its factorization.

70542424058400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 70542424058400 in words is "seventy trillion, five hundred forty-two billion, four hundred twenty-four million, fifty-eight thousand, four hundred".