1950388056900 has 432 divisors, whose sum is σ = 6421959468288. Its totient is φ = 513402624000.

The previous prime is 1950388056853. The next prime is 1950388056923. The reversal of 1950388056900 is 96508830591.

It is a happy number.

1950388056900 is a `hidden beast` number, since 1 + 9 + 503 + 8 + 80 + 56 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×1950388056900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 744137590 + ... + 744140210.

Almost surely, 2^{1950388056900} is an apocalyptic number.

1950388056900 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 1950388056900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210979734144).

1950388056900 is an abundant number, since it is smaller than the sum of its proper divisors (4471571411388).

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

1950388056900 is a wasteful number, since it uses less digits than its factorization.

1950388056900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 1950388056900 in words is "one trillion, nine hundred fifty billion, three hundred eighty-eight million, fifty-six thousand, nine hundred".