59890006426400 has 36 divisors (see below), whose sum is σ = 146206478190402. Its totient is φ = 23956002570240.

The previous prime is 59890006426373. The next prime is 59890006426427. The reversal of 59890006426400 is 462460009895.

It is an interprime number because it is at equal distance from previous prime (59890006426373) and next prime (59890006426427).

It can be written as a sum of positive squares in 3 ways, for example, as 38078229611536 + 21811776814864 = 6170756^2 + 4670308^2 .

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37431253217 + ... + 37431254816.

Almost surely, 2^{59890006426400} is an apocalyptic number.

59890006426400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

59890006426400 is an abundant number, since it is smaller than the sum of its proper divisors (86316471764002).

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

59890006426400 is a wasteful number, since it uses less digits than its factorization.

59890006426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74862508053 (or 74862508040 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 59890006426400 in words is "fifty-nine trillion, eight hundred ninety billion, six million, four hundred twenty-six thousand, four hundred".